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Popular >

y^{''}+(2/x)=0

Solution

y^{^{''}} + (\frac{2}{x}) = 0

Solution

y = - 2 (x ln (x) - x) + c_{1} x + c_{2}

Solution steps

y^{''} (x) + (\frac{2}{x}) = 0

Isolate

y^{''} (x) : y^{''} (x) = - \frac{2}{x}

Solve

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

Solve

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

y = - 2 (x ln (x) - x) + c_{1} x + c_{2}

Popular Examples

integral from 0 to 3 of x^2ln(x)

\int_{0}^{3} x^{2} ln (x) d x

derivative of (y^2/(b^2))

\frac{d}{d x} (\frac{y ^{2}}{b ^{2}})

derivative of 20cos(2x-30sin(2x))

\frac{d}{d x} (20 cos (2 x) - 30 sin (2 x))

integral of 8sin(2x)

\int 8 sin (2 x) d x

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

Frequently Asked Questions (FAQ)

What is the solution for y^{''}+(2/x)=0 ?
The solution for y^{''}+(2/x)=0 is y=-2(xln(x)-x)+c_{1}x+c_{2}