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Popular >

dy+ydx=2xy^2e^xdx

Solution

d y + y d x = 2 x y^{2} e^{x} d x

Solution

y = \frac{1}{e ^{x} ( - x ^{2} + c _{1} )}

Solution steps

d y + y d x = 2 x y^{2} e^{x} d x

Solve Bernoulli ODE:

y = \frac{1}{e ^{x} ( - x ^{2} + c _{1} )}

y = \frac{1}{e ^{x} ( - x ^{2} + c _{1} )}

Popular Examples

derivative of 2^xx^2

\frac{d}{d x} (2^{x} x^{2})

integral of 1/(8-7x)

\int \frac{1}{8 - 7 x} d x

integral of (x^2+2x)cos(x)

\int (x^{2} + 2 x) cos (x) d x

derivative of sqrt((x^4))

\frac{d}{d x} ((x^{4}))

y^{''}+4y=5sin(2x)

y^{^{''}} + 4 y = 5 sin (2 x)

Frequently Asked Questions (FAQ)

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