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Popular >

(dy)/(dx)=xe^{x^2}

Solution

\frac{d y}{d x} = x e^{x^{2}}

Solution

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

Solution steps

\frac{d y}{d x} = x e^{x^{2}}

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = x e^{x^{2}}

If

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

then

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

y = \int x e^{x^{2}} d x

\int x e^{x^{2}} d x = \frac{1}{2} e^{x^{2}} + c_{1}

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

Popular Examples

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\int_{- 1}^{1} x^{2} (1.5 x^{2}) d x

derivative of sqrt(a*t)(8-a)+8a derivative of

a \cdot t (8 - a) + 8 a

integral of (xln(x^2+1)+(x^2+1)y)

\int (x ln (x^{2} + 1) + (x^{2} + 1) y) d x

d/(dX)(800X-200)

\frac{d}{d X} (800 X - 200)

integral of 1/2 (3x-3)^8

\int \frac{1}{2} (3 x - 3)^{8} d x

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=xe^{x^2} ?
The solution for (dy)/(dx)=xe^{x^2} is y= 1/2 e^{x^2}+c_{1}