Reducing Second order PDE System to First-Order












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I am confused as to how to choose the variables for $a, b, c, d, e$ and $f$ when reducing the second-order PDE systems to first-order. This is the question I am referring to for help:



enter image description here










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  • $begingroup$
    You just need one additional function $w := frac{partial u}{partial y}$ to obtain a system of first-order PDEs for $(u,v,w)$.
    $endgroup$
    – Christoph
    Jan 29 at 5:18
















1












$begingroup$


I am confused as to how to choose the variables for $a, b, c, d, e$ and $f$ when reducing the second-order PDE systems to first-order. This is the question I am referring to for help:



enter image description here










share|cite|improve this question











$endgroup$












  • $begingroup$
    You just need one additional function $w := frac{partial u}{partial y}$ to obtain a system of first-order PDEs for $(u,v,w)$.
    $endgroup$
    – Christoph
    Jan 29 at 5:18














1












1








1





$begingroup$


I am confused as to how to choose the variables for $a, b, c, d, e$ and $f$ when reducing the second-order PDE systems to first-order. This is the question I am referring to for help:



enter image description here










share|cite|improve this question











$endgroup$




I am confused as to how to choose the variables for $a, b, c, d, e$ and $f$ when reducing the second-order PDE systems to first-order. This is the question I am referring to for help:



enter image description here







pde linear-pde






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Jan 29 at 4:20









Mattos

2,83121321




2,83121321










asked Jan 29 at 4:04









Matias SalgoMatias Salgo

113




113












  • $begingroup$
    You just need one additional function $w := frac{partial u}{partial y}$ to obtain a system of first-order PDEs for $(u,v,w)$.
    $endgroup$
    – Christoph
    Jan 29 at 5:18


















  • $begingroup$
    You just need one additional function $w := frac{partial u}{partial y}$ to obtain a system of first-order PDEs for $(u,v,w)$.
    $endgroup$
    – Christoph
    Jan 29 at 5:18
















$begingroup$
You just need one additional function $w := frac{partial u}{partial y}$ to obtain a system of first-order PDEs for $(u,v,w)$.
$endgroup$
– Christoph
Jan 29 at 5:18




$begingroup$
You just need one additional function $w := frac{partial u}{partial y}$ to obtain a system of first-order PDEs for $(u,v,w)$.
$endgroup$
– Christoph
Jan 29 at 5:18










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