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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

limit as t approaches 1 of 3t^3+2

t \to 1 lim (3 t^{3} + 2)

integral of x/(1+sqrt(x))

\int \frac{x}{1 + x} d x

(\partial)/(\partial x)(-2x)

\frac{\partial}{\partial x} (- 2 x)

(\partial)/(\partial x)(xe^{-2x^2-2y^2})

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

integral of sqrt(2x^2+1)

\int 2 x^{2} + 1 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