# Solve y=(2y^4+2x)y′ using Laplace Transform

Solve $y=\left(2{y}^{4}+2x\right){y}^{\prime }$ using Laplace Transform
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$y=\left(2{y}^{4}+2x\right){y}^{\prime }$
Rewrite the differential equation as:
${x}^{\prime }y=2{y}^{4}+2x$
Then you can apply the Laplace transform.
${X}^{\prime }\left(s\right)+2X\left(s\right)=-\frac{2×4!}{{s}^{5}}$
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