What is the solution for (dy)/(dx)+15x^2y=30x^2 ?

The solution for (dy)/(dx)+15x^2y=30x^2 is y=e^{-5x^3+c_{1}}+2

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(dy)/(dx)+15x^2y=30x^2

\frac{d y}{d x} + 15 x^{2} y = 30 x^{2}

y = e^{- 5 x^{3} + c_{1}} + 2

Solution steps

\frac{d y}{d x} + 15 x^{2} y = 30 x^{2}

Solve separable ODE:

y = e^{- 5 x^{3} + c_{1}} + 2

y = e^{- 5 x^{3} + c_{1}} + 2

n = 0 \sum \infty \frac{2 ^{n}}{n + 1}

\frac{s}{s ^{2} + 1}

- \frac{1}{( 2 x + 3 ) ^{\frac{3}{2}}}

\int 5 x^{3} (x - 5)^{- 4} d x

\frac{s + 2}{( s - 1 ) ( s + 6 )}

What is the solution for (dy)/(dx)+15x^2y=30x^2 ?
The solution for (dy)/(dx)+15x^2y=30x^2 is y=e^{-5x^3+c_{1}}+2