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Popular >

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

Solution

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

Solution

y = \frac{x ^{3}}{6} + c_{1} x + c_{2}

Solution steps

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

Substitute

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

with

y^{''} (x)

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

Solve

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

Solve

y^{'} (x) = \frac{x ^{2}}{2} + c_{1} : y = \frac{x ^{3}}{6} + c_{1} x + c_{2}

y = \frac{x ^{3}}{6} + c_{1} x + c_{2}

Graph

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Frequently Asked Questions (FAQ)

What is the solution for (d^2y)/(dx^2)=x ?
The solution for (d^2y)/(dx^2)=x is y=(x^3)/6+c_{1}x+c_{2}