en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^'=-a*y^2

Solution

y^{^{'}} = - a \cdot y^{2}

Solution

y = - \frac{1}{- a t + c _{1}}

Solution steps

y^{'} (t) = - a \cdot y^{2}

Solve separable ODE:

y = - \frac{1}{- a t + c _{1}}

y = - \frac{1}{- a t + c _{1}}

Popular Examples

\frac{d}{d t} (t^{9} e^{t})

4^{^{'}}

derivative of sin(4x^2+3x)

\frac{d}{d x} (sin (4 x^{2} + 3 x))

integral of 8/(xsqrt(64-(ln(x))^2))

\int \frac{8}{x 64 - ( ln ( x ) ) ^{2}} d x

integral of sec^6(5x)tan(5x)

\int sec^{6} (5 x) tan (5 x) d x

Frequently Asked Questions (FAQ)

What is the solution for y^'=-a*y^2 ?
The solution for y^'=-a*y^2 is y=-1/(-at+c_{1)}