What is the solution for (dy)/(dx)+15x^2y=15x^2 ?

The solution for (dy)/(dx)+15x^2y=15x^2 is y=e^{-5x^3+c_{1}}+1

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(dy)/(dx)+15x^2y=15x^2

\frac{d y}{d x} + 15 x^{2} y = 15 x^{2}

y = e^{- 5 x^{3} + c_{1}} + 1

Solution steps

\frac{d y}{d x} + 15 x^{2} y = 15 x^{2}

Solve separable ODE:

y = e^{- 5 x^{3} + c_{1}} + 1

y = e^{- 5 x^{3} + c_{1}} + 1

\frac{d y}{d x} = (y + 1) (x + 1) cos (x^{2} + 2 x), y (0) = 4

y^{^{'}} + 2 (x + 1) y^{2} = 0

\frac{d y}{d x} - \frac{y}{x + 1} = 0

a y^{^{'}} + y = c

(2 y + 2) d y - (4 x^{3} + 6 x) d x = 0

What is the solution for (dy)/(dx)+15x^2y=15x^2 ?
The solution for (dy)/(dx)+15x^2y=15x^2 is y=e^{-5x^3+c_{1}}+1