en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4y^'+2y=120,y(0)=1

Solution

4 y^{^{'}} + 2 y = 120, y (0) = 1

Solution

y = - 59 e^{- \frac{t}{2}} + 60

Solution steps

4 y^{'} (t) + 2 y = 120

Solve separable ODE:

y = - 59 e^{- \frac{t}{2}} + 60

y = - 59 e^{- \frac{t}{2}} + 60

Popular Examples

(dy)/(dt)=(6t^2)/(5y)

\frac{d y}{d t} = \frac{6 t ^{2}}{5 y}

((dy)/(dx))/y =5

\frac{\frac{d y}{d x}}{y} = 5

(dy}{dx}=\frac{-x)/y ,y(4)=-3

\frac{d y}{d x} = \frac{- x}{y}, y (4) = - 3

(dy)/(dx)=(x+2)/(y-1)

\frac{d y}{d x} = \frac{x + 2}{y - 1}

y(1-x)-x(dy)/(dx)=0

y (1 - x) - x \frac{d y}{d x} = 0

Frequently Asked Questions (FAQ)

What is the solution for 4y^'+2y=120,y(0)=1 ?
The solution for 4y^'+2y=120,y(0)=1 is y=-59e^{-t/2}+60