What is the solution for (ye^{4xy}+x)dx+(xe^{4xy})dy=0 ?

The solution for (ye^{4xy}+x)dx+(xe^{4xy})dy=0 is y=(ln(c_{1}-2x^2))/(4x)

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(ye^{4xy}+x)dx+(xe^{4xy})dy=0

(y e^{4 x y} + x) d x + (x e^{4 x y}) d y = 0

y = \frac{ln ( c _{1} - 2 x ^{2} )}{4 x}

Solution steps

(y e^{4 x y} + x) d x + (x e^{4 x y}) d y = 0

Solve exact ODE:

y = \frac{ln ( c _{1} - 2 x ^{2} )}{4 x}

y = \frac{ln ( c _{1} - 2 x ^{2} )}{4 x}

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What is the solution for (ye^{4xy}+x)dx+(xe^{4xy})dy=0 ?
The solution for (ye^{4xy}+x)dx+(xe^{4xy})dy=0 is y=(ln(c_{1}-2x^2))/(4x)