en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^'=t(3-2y)

Solution

y^{^{'}} = t (3 - 2 y)

Solution

y = - \frac{e ^{- t^{2} - c_{1}}}{2} + \frac{3}{2}

Solution steps

y^{'} (t) = t (3 - 2 y)

Solve separable ODE:

y = - \frac{e ^{- t^{2} - c_{1}}}{2} + \frac{3}{2}

y = - \frac{e ^{- t^{2} - c_{1}}}{2} + \frac{3}{2}

Popular Examples

(dy)/(dx)=2xsqrt(4-y^2)

\frac{d y}{d x} = 2 x 4 - y^{2}

(dx)/(dt)=rx(1-x/2)

\frac{d x}{d t} = r x (1 - \frac{x}{2})

y^'+tan(5*x)y=0

y^{^{'}} + tan (5 \cdot x) y = 0

x^'=0.075x-9000

x^{^{'}} = 0.075 x - 9000

(3y^2-8x^{-1}y)dx+(3xy-8)dy=0

(3 y^{2} - 8 x^{- 1} y) d x + (3 x y - 8) d y = 0

Frequently Asked Questions (FAQ)

What is the solution for y^'=t(3-2y) ?
The solution for y^'=t(3-2y) is y=-(e^{-t^2-c_{1}})/2+3/2