Question #231350

10)Find the complete integral of the PDE yq+3xp=2(z-y²p²).


1
Expert's answer
2021-09-20T06:05:44-0400

3px2z2p2y2+qy)dx\int3px-2z-2p^2y^2+qy)dx

=3px2/2+(2z+2p2y2+qy)x+C3px^2/2+(-2z+2p^2y^2+qy)x+C

3px2/2+(2zx+2p2y2x+qyx)+C3px^2/2+(-2zx+2p^2y^2x+qyx)+C

simplify and rewrite

3(px4z+4p2y2+2qy)2+C\frac{3(px-4z+4p^2y^2+2qy)}{2}+C answer



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