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Popular >

(dy)/(dx)=xe^x

Solution

\frac{d y}{d x} = x e^{x}

Solution

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

Solution steps

\frac{d y}{d x} = x e^{x}

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = x e^{x}

If

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

y = \int x e^{x} d x

\int x e^{x} d x = e^{x} x - e^{x} + c_{1}

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

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integral from 0 to 7r of sqrt(49r^2-y^2)

\int_{0}^{7 r} 49 r^{2} - y^{2} d y

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=xe^x ?
The solution for (dy)/(dx)=xe^x is y=e^xx-e^x+c_{1}