What is the solution for (dy)/(dx)+15x^2y=45x^2 ?

The solution for (dy)/(dx)+15x^2y=45x^2 is y=e^{-5x^3+c_{1}}+3

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(dy)/(dx)+15x^2y=45x^2

\frac{d y}{d x} + 15 x^{2} y = 45 x^{2}

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

Solution steps

\frac{d y}{d x} + 15 x^{2} y = 45 x^{2}

Solve separable ODE:

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

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

\frac{d}{d x} (\frac{1}{1 - 5 x})

\int \frac{5}{x} + 5 x d x

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

\frac{\partial}{\partial x} (5 x + 6 y)

x \to + 3 lim (\frac{x ^{2} - 2}{3 - x})

What is the solution for (dy)/(dx)+15x^2y=45x^2 ?
The solution for (dy)/(dx)+15x^2y=45x^2 is y=e^{-5x^3+c_{1}}+3