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Popular >

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

Solution

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

Solution

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

Solution steps

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

Substitute

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

with

S^{''} (x)

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

Solve

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

Solve

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

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

Graph

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Frequently Asked Questions (FAQ)

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