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Popular >

(d^2y)/(dx^2)=4x

Solution

\frac{d ^{2} y}{d x ^{2}} = 4 x

Solution

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

Solution steps

\frac{d ^{2} y}{d x ^{2}} = 4 x

Substitute

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

with

y^{''} (x)

y^{^{''}} (x) = 4 x

Solve

y^{''} (x) = 4 x : y^{'} (x) = 2 x^{2} + c_{1}

Solve

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

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

Graph

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\int \frac{2 x + 5}{x ^{2}} d x

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Frequently Asked Questions (FAQ)

What is the solution for (d^2y)/(dx^2)=4x ?
The solution for (d^2y)/(dx^2)=4x is y=(2x^3)/3+c_{1}x+c_{2}