What is the solution for (dy)/(dx)+x^2y=10x^2 ?

The solution for (dy)/(dx)+x^2y=10x^2 is y=e^{-(x^3)/3+c_{1}}+10

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(dy)/(dx)+x^2y=10x^2

\frac{d y}{d x} + x^{2} y = 10 x^{2}

y = e^{- \frac{x ^{3}}{3} + c_{1}} + 10

Solution steps

\frac{d y}{d x} + x^{2} y = 10 x^{2}

Solve separable ODE:

y = e^{- \frac{x ^{3}}{3} + c_{1}} + 10

y = e^{- \frac{x ^{3}}{3} + c_{1}} + 10

What is the solution for (dy)/(dx)+x^2y=10x^2 ?
The solution for (dy)/(dx)+x^2y=10x^2 is y=e^{-(x^3)/3+c_{1}}+10