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

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

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

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

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

Solution steps

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

Solve separable ODE:

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

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

\int \frac{15}{( x + 2 ) ^{4}} d x

\int (e^{t} i + j + cos (t) k) d t

\frac{\partial}{\partial y} (2 x e^{x + y} + x^{2} e^{x + y} - y^{3} sin (x y))

\frac{1}{( s ^{2} + 3 s )}

f (x) = \frac{2 x}{1 + x ^{2}}, at x = 4

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