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Popular >

(dy)/(dx)=x(e+y)

Solution

\frac{d y}{d x} = x (e + y)

Solution

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

Solution steps

\frac{d y}{d x} = x (e + y)

Solve separable ODE:

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

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

Popular Examples

derivative of y=-x^2 derivative of

y = - x^{2}

integral of cosh(x)

\int cosh (x) d x

integral from 0 to x of ae^{-ax}

\int_{0}^{x} a e^{- a x} d x

derivative of 1/x-4x^2

\frac{d}{d x} (\frac{1}{x} - 4 x^{2})

area 2x^2+3,(-2,1)area

2 x^{2} + 3, (- 2, 1)

Frequently Asked Questions (FAQ)

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