Solve the differential equation very tough to solve!!












0












$begingroup$


Today a classmate of mine had given me and my teacher a differential equation I don't know from where but it became a headache for me and my teacher because we both were unable to solve it at some particular step.
Here is the differential equation:



$$x, frac{dy}{dx} + y ln(x) = x,e^x,x^{(1/2) ln x}.$$



When I and my teacher was solving we compared it by
$dy/dx + Py =Q, $
but when it came to integrate $Q$ (I.F.) it would integrable by me. So please help me in this question. Any guidance will be appreciated.






integration ordinary-differential-equations indefinite-integrals







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  • 1




    $begingroup$
    I've taken a stab at typesetting your DE. Please confirm it's correct.
    $endgroup$
    – Adrian Keister
    Jan 7 at 14:29










  • $begingroup$
    Thanks for editing it
    $endgroup$
    – Ritik
    Jan 7 at 14:33
















0












$begingroup$


Today a classmate of mine had given me and my teacher a differential equation I don't know from where but it became a headache for me and my teacher because we both were unable to solve it at some particular step.
Here is the differential equation:



$$x, frac{dy}{dx} + y ln(x) = x,e^x,x^{(1/2) ln x}.$$



When I and my teacher was solving we compared it by
$dy/dx + Py =Q, $
but when it came to integrate $Q$ (I.F.) it would integrable by me. So please help me in this question. Any guidance will be appreciated.






integration ordinary-differential-equations indefinite-integrals







share|cite|improve this question











$endgroup$








  • 1




    $begingroup$
    I've taken a stab at typesetting your DE. Please confirm it's correct.
    $endgroup$
    – Adrian Keister
    Jan 7 at 14:29










  • $begingroup$
    Thanks for editing it
    $endgroup$
    – Ritik
    Jan 7 at 14:33














0












0








0


1



$begingroup$


Today a classmate of mine had given me and my teacher a differential equation I don't know from where but it became a headache for me and my teacher because we both were unable to solve it at some particular step.
Here is the differential equation:



$$x, frac{dy}{dx} + y ln(x) = x,e^x,x^{(1/2) ln x}.$$



When I and my teacher was solving we compared it by
$dy/dx + Py =Q, $
but when it came to integrate $Q$ (I.F.) it would integrable by me. So please help me in this question. Any guidance will be appreciated.






integration ordinary-differential-equations indefinite-integrals







share|cite|improve this question











$endgroup$




Today a classmate of mine had given me and my teacher a differential equation I don't know from where but it became a headache for me and my teacher because we both were unable to solve it at some particular step.
Here is the differential equation:



$$x, frac{dy}{dx} + y ln(x) = x,e^x,x^{(1/2) ln x}.$$



When I and my teacher was solving we compared it by
$dy/dx + Py =Q, $
but when it came to integrate $Q$ (I.F.) it would integrable by me. So please help me in this question. Any guidance will be appreciated.






integration ordinary-differential-equations indefinite-integrals




integration ordinary-differential-equations indefinite-integrals






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Jan 7 at 14:25









Adrian Keister

4,98761933




4,98761933










asked Jan 7 at 14:22









RitikRitik

4710




4710








  • 1




    $begingroup$
    I've taken a stab at typesetting your DE. Please confirm it's correct.
    $endgroup$
    – Adrian Keister
    Jan 7 at 14:29










  • $begingroup$
    Thanks for editing it
    $endgroup$
    – Ritik
    Jan 7 at 14:33














  • 1




    $begingroup$
    I've taken a stab at typesetting your DE. Please confirm it's correct.
    $endgroup$
    – Adrian Keister
    Jan 7 at 14:29










  • $begingroup$
    Thanks for editing it
    $endgroup$
    – Ritik
    Jan 7 at 14:33








1




1




$begingroup$
I've taken a stab at typesetting your DE. Please confirm it's correct.
$endgroup$
– Adrian Keister
Jan 7 at 14:29




$begingroup$
I've taken a stab at typesetting your DE. Please confirm it's correct.
$endgroup$
– Adrian Keister
Jan 7 at 14:29












$begingroup$
Thanks for editing it
$endgroup$
– Ritik
Jan 7 at 14:33




$begingroup$
Thanks for editing it
$endgroup$
– Ritik
Jan 7 at 14:33










1 Answer
1






active

oldest

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4












$begingroup$

There might be a $+/-$ mistake: if either '$+ y ,text{ln}(x)$' is changed to '$- y ,text{ln}(x)$' or $x^{frac{1}{2},text{ln}(x)}$ is changed to $x^{-frac{1}{2},text{ln}(x)}$, the resulting integral is explicitly solvable. As it stands, the integral, which is essentially $int e^{x + text{ln}(x)^2},text{d}x$, is not solvable.






share|cite|improve this answer









$endgroup$













  • $begingroup$
    Oh that means give ODE is not solvable there might be mistake
    $endgroup$
    – Ritik
    Jan 7 at 14:51












  • $begingroup$
    Please make the appropriate changes and then tell the method to solve he might have given wrong I will suggest him those suggestions given by you guys .
    $endgroup$
    – Ritik
    Jan 7 at 14:53











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1 Answer
1






active

oldest

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1 Answer
1






active

oldest

votes









active

oldest

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active

oldest

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4












$begingroup$

There might be a $+/-$ mistake: if either '$+ y ,text{ln}(x)$' is changed to '$- y ,text{ln}(x)$' or $x^{frac{1}{2},text{ln}(x)}$ is changed to $x^{-frac{1}{2},text{ln}(x)}$, the resulting integral is explicitly solvable. As it stands, the integral, which is essentially $int e^{x + text{ln}(x)^2},text{d}x$, is not solvable.






share|cite|improve this answer









$endgroup$













  • $begingroup$
    Oh that means give ODE is not solvable there might be mistake
    $endgroup$
    – Ritik
    Jan 7 at 14:51












  • $begingroup$
    Please make the appropriate changes and then tell the method to solve he might have given wrong I will suggest him those suggestions given by you guys .
    $endgroup$
    – Ritik
    Jan 7 at 14:53
















4












$begingroup$

There might be a $+/-$ mistake: if either '$+ y ,text{ln}(x)$' is changed to '$- y ,text{ln}(x)$' or $x^{frac{1}{2},text{ln}(x)}$ is changed to $x^{-frac{1}{2},text{ln}(x)}$, the resulting integral is explicitly solvable. As it stands, the integral, which is essentially $int e^{x + text{ln}(x)^2},text{d}x$, is not solvable.






share|cite|improve this answer









$endgroup$













  • $begingroup$
    Oh that means give ODE is not solvable there might be mistake
    $endgroup$
    – Ritik
    Jan 7 at 14:51












  • $begingroup$
    Please make the appropriate changes and then tell the method to solve he might have given wrong I will suggest him those suggestions given by you guys .
    $endgroup$
    – Ritik
    Jan 7 at 14:53














4












4








4





$begingroup$

There might be a $+/-$ mistake: if either '$+ y ,text{ln}(x)$' is changed to '$- y ,text{ln}(x)$' or $x^{frac{1}{2},text{ln}(x)}$ is changed to $x^{-frac{1}{2},text{ln}(x)}$, the resulting integral is explicitly solvable. As it stands, the integral, which is essentially $int e^{x + text{ln}(x)^2},text{d}x$, is not solvable.






share|cite|improve this answer









$endgroup$



There might be a $+/-$ mistake: if either '$+ y ,text{ln}(x)$' is changed to '$- y ,text{ln}(x)$' or $x^{frac{1}{2},text{ln}(x)}$ is changed to $x^{-frac{1}{2},text{ln}(x)}$, the resulting integral is explicitly solvable. As it stands, the integral, which is essentially $int e^{x + text{ln}(x)^2},text{d}x$, is not solvable.







share|cite|improve this answer












share|cite|improve this answer



share|cite|improve this answer










answered Jan 7 at 14:47









Frits VeermanFrits Veerman

6,5362920




6,5362920












  • $begingroup$
    Oh that means give ODE is not solvable there might be mistake
    $endgroup$
    – Ritik
    Jan 7 at 14:51












  • $begingroup$
    Please make the appropriate changes and then tell the method to solve he might have given wrong I will suggest him those suggestions given by you guys .
    $endgroup$
    – Ritik
    Jan 7 at 14:53


















  • $begingroup$
    Oh that means give ODE is not solvable there might be mistake
    $endgroup$
    – Ritik
    Jan 7 at 14:51












  • $begingroup$
    Please make the appropriate changes and then tell the method to solve he might have given wrong I will suggest him those suggestions given by you guys .
    $endgroup$
    – Ritik
    Jan 7 at 14:53
















$begingroup$
Oh that means give ODE is not solvable there might be mistake
$endgroup$
– Ritik
Jan 7 at 14:51






$begingroup$
Oh that means give ODE is not solvable there might be mistake
$endgroup$
– Ritik
Jan 7 at 14:51














$begingroup$
Please make the appropriate changes and then tell the method to solve he might have given wrong I will suggest him those suggestions given by you guys .
$endgroup$
– Ritik
Jan 7 at 14:53




$begingroup$
Please make the appropriate changes and then tell the method to solve he might have given wrong I will suggest him those suggestions given by you guys .
$endgroup$
– Ritik
Jan 7 at 14:53


















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