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Popular >

y^{''}=x

Solution

y^{^{''}} = x

Solution

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

Solution steps

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}

Popular Examples

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\int_{- 1}^{0} 3 \frac{e ^{\frac{1}{x}}}{x ^{3}} d x

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\frac{d}{d x} (\frac{1}{π} sin (π x))

limit as x approaches 5 of 10x+35

x \to 5 lim (10 x + 35)

derivative of ln(arcsin(x^2))

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

Frequently Asked Questions (FAQ)

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