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Popular >

xy^'-2y=x^3e^x

Solution

x y^{^{'}} - 2 y = x^{3} e^{x}

Solution

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

Solution steps

x y^{'} (x) - 2 y = x^{3} 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)/(x^2+6x+9)

\int \frac{x ^{3}}{x ^{2} + 6 x + 9} d x

integral from 1 to infinity of 3e^{-3x}

\int_{1}^{\infty} 3 e^{- 3 x} d x

integral of x^3*e^{4x}

\int x^{3} \cdot e^{4 x} d x

\frac{d}{d y} (x^{2} y^{3})

integral of-xe^{x^2}

\int - x e^{x^{2}} d x

Frequently Asked Questions (FAQ)

What is the solution for xy^'-2y=x^3e^x ?
The solution for xy^'-2y=x^3e^x is y=e^xx^2+c_{1}x^2