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

The solution for (d^2y)/(dx^2)=x^2 is y=(x^4)/(12)+c_{1}x+c_{2}

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

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

y = \frac{x ^{4}}{12} + c_{1} x + c_{2}

Solution steps

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

Substitute

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

with

y^{''} (x)

y^{^{''}} (x) = x^{2}

Solve

y^{''} (x) = x^{2} : y^{'} (x) = \frac{x ^{3}}{3} + c_{1}

Solve

y^{'} (x) = \frac{x ^{3}}{3} + c_{1} : y = \frac{x ^{4}}{12} + c_{1} x + c_{2}

y = \frac{x ^{4}}{12} + c_{1} x + c_{2}

\frac{d}{d x} (4 3 x^{2} + 9)

\int_{0}^{l n (3)} \frac{4 e ^{x}}{1 + e ^{2 x}} d x

x (9^{- 2 x})

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

\frac{cos ( x )}{2 + sin ( x )}

What is the solution for (d^2y)/(dx^2)=x^2 ?
The solution for (d^2y)/(dx^2)=x^2 is y=(x^4)/(12)+c_{1}x+c_{2}