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Popular >

y^'+3y=e^xy^2

Solution

y^{^{'}} + 3 y = e^{x} y^{2}

Solution

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

Solution steps

y^{'} (x) + 3 y = e^{x} y^{2}

Solve Bernoulli ODE:

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

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

Popular Examples

limit as x approaches 4+of (x+5)/(x-4)

x \to 4 + lim (\frac{x + 5}{x - 4})

9 y^{^{''}} + y = 0

y^{''}+4y=t^2+3e^t

y^{^{''}} + 4 y = t^{2} + 3 e^{t}

integral from 0 to pi of cos^6(x)

\int_{0}^{π} cos^{6} (x) d x

y^{^{'}} = 0.285 (1 - y)

Frequently Asked Questions (FAQ)

What is the solution for y^'+3y=e^xy^2 ?
The solution for y^'+3y=e^xy^2 is y= 2/(e^x(1+2c_{1)e^{2x})}