What is the solution for 4xy^2+(dy)/(dx)=5x^4y^2 ?

The solution for 4xy^2+(dy)/(dx)=5x^4y^2 is y=-1/(x^5-2x^2+c_{1)}

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4xy^2+(dy)/(dx)=5x^4y^2

4 x y^{2} + \frac{d y}{d x} = 5 x^{4} y^{2}

y = - \frac{1}{x ^{5} - 2 x ^{2} + c _{1}}

Solution steps

4 x y^{2} + \frac{d y}{d x} = 5 x^{4} y^{2}

Solve separable ODE:

y = - \frac{1}{x ^{5} - 2 x ^{2} + c _{1}}

y = - \frac{1}{x ^{5} - 2 x ^{2} + c _{1}}

\int (e^{y} + 4)^{5} e^{y} d y

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\int_{0}^{\infty} x^{5} e^{- x} d x

What is the solution for 4xy^2+(dy)/(dx)=5x^4y^2 ?
The solution for 4xy^2+(dy)/(dx)=5x^4y^2 is y=-1/(x^5-2x^2+c_{1)}