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Popular >

y^'-xe^y=2e^y

Solution

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

Solution

y = - ln (- 2 x - \frac{x ^{2}}{2} - c_{1})

Solution steps

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

Solve separable ODE:

y = - ln (- 2 x - \frac{x ^{2}}{2} - c_{1})

y = - ln (- 2 x - \frac{x ^{2}}{2} - c_{1})

Popular Examples

\frac{d y}{d x} + 5 y = 3

integral of (3x-4)/(x^2-3x+2)

\int \frac{3 x - 4}{x ^{2} - 3 x + 2} d x

area x+y^2=42,x+y=0 area

x + y^{2} = 42, x + y = 0

area x=25-y^2,x=y^2-25 area

x = 25 - y^{2}, x = y^{2} - 25

derivative of 10^{-6}x^3

\frac{d}{d x} (1 0^{- 6} x^{3})

Frequently Asked Questions (FAQ)

What is the solution for y^'-xe^y=2e^y ?
The solution for y^'-xe^y=2e^y is y=-ln(-2x-(x^2)/2-c_{1})