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Popular >

y^'-2/x y=x^2e^x

Solution

y^{^{'}} - \frac{2}{x} y = x^{2} e^{x}

Solution

y = e^{x} x^{2} + c_{1} x^{2}

Solution steps

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

Solve linear ODE:

y = e^{x} x^{2} + c_{1} x^{2}

y = e^{x} x^{2} + c_{1} x^{2}

Popular Examples

integral of (x^3-3x^2+5)/((x-3))

\int \frac{x ^{3} - 3 x ^{2} + 5}{( x - 3 )} d x

limit as x approaches 1 of 1/(x^2-1)

x \to 1 lim (\frac{1}{x ^{2} - 1})

inverse oflaplace s/((s-1)^2+1)inverse laplace

\frac{s}{( s - 1 ) ^{2} + 1}

integral from 1 to 5 of 2e^{2x}

\int_{1}^{5} 2 e^{2 x} d x

derivative of \sqrt[3]{t}+4sqrt(t^3)derivative of

Frequently Asked Questions (FAQ)

What is the solution for y^'-2/x y=x^2e^x ?
The solution for y^'-2/x y=x^2e^x is y=e^xx^2+c_{1}x^2