en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^'-y=e^xy^2

Solution

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

Solution

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

Solution steps

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

Solve Bernoulli ODE:

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

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

Popular Examples

derivative of (x-43/(sqrt(x)-\sqrt{43)})

\frac{d}{d x} (\frac{x - 43}{x - 43})

integral of 6sin^4(xco)s^2x

\int 6 sin^{4} (x co) s^{2} x d x

limit as x approaches 0+of d^2y

x \to 0 + lim (d^{2} y)

x^{''}+4x^'+8x=e^{-2t},x(0)=1,x^'(0)=-2

x^{^{''}} + 4 x^{^{'}} + 8 x = e^{- 2 t}, x (0) = 1, x^{^{'}} (0) = - 2

derivative of cos(2x-1)

\frac{d}{d x} (cos (2 x) - 1)

Frequently Asked Questions (FAQ)

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