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Popular >

y^'+xy=e^xy

Solution

y^{^{'}} + x y = e^{x} y

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

integral of (8t^3+10)/(4t^2-4t+5)

\int \frac{8 t ^{3} + 10}{4 t ^{2} - 4 t + 5} d t

integral of x^4+1

\int x^{4} + 1 d x

integral of (3x+2)/(sqrt(19-5x+x^2))

\int \frac{3 x + 2}{19 - 5 x + x ^{2}} d x

limit as x approaches c of 2.5(-2)

x \to c lim (2.5 (- 2))

integral of x^2(2x-5)

\int x^{2} (2 x - 5) d x

Frequently Asked Questions (FAQ)

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