What is the solution for (d^2)/(dx^2)y=x^3 ?

The solution for (d^2)/(dx^2)y=x^3 is y=(x^5)/(20)+c_{1}x+c_{2}

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(d^2)/(dx^2)y=x^3

\frac{d ^{2}}{d x ^{2}} y = x^{3}

y = \frac{x ^{5}}{20} + c_{1} x + c_{2}

Solution steps

\frac{d ^{2} y}{d x ^{2}} = x^{3}

Solve

y^{''} (x) = x^{3} : y^{'} (x) = \frac{x ^{4}}{4} + c_{1}

Solve

y^{'} (x) = \frac{x ^{4}}{4} + c_{1} : y = \frac{x ^{5}}{20} + c_{1} x + c_{2}

y = \frac{x ^{5}}{20} + c_{1} x + c_{2}

\frac{d}{d x} (3 ln (x^{2}))

\frac{\partial}{\partial x} (e^{2 y} - y cos (x y))

y = e^{x}, y = e^{- 3 x}, x = ln (3)

\frac{\partial}{\partial x} (x y (x - 2) (y - 3))

\frac{d}{d x} ((1 - 2 x)^{2})

What is the solution for (d^2)/(dx^2)y=x^3 ?
The solution for (d^2)/(dx^2)y=x^3 is y=(x^5)/(20)+c_{1}x+c_{2}