en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3(dx)/(dt)+2x=4,x=0

Solution

3 \frac{d x}{d t} + 2 x = 4, x = 0

Solution

x = - 2 e^{- \frac{2 t}{3}} + 2

Solution steps

3 \frac{d x}{d t} + 2 x = 4

Solve separable ODE:

x = - 2 e^{- \frac{2 t}{3}} + 2

x = - 2 e^{- \frac{2 t}{3}} + 2

Popular Examples

u^'=2e^{3x-\H(x)}

u^{^{'}} = 2 e^{3 x - H (x)}

(dy)/(dx)-8(dy)/(dx)+16y=0

\frac{d y}{d x} - 8 \frac{d y}{d x} + 16 y = 0

y^{^{'}} = x (6 - y)

(dy)/(dx)=(3x+3xy^2)/(yx^2+2y)

\frac{d y}{d x} = \frac{3 x + 3 x y ^{2}}{y x ^{2} + 2 y}

xy^'+4y=0,y(1)=(sqrt(3))/2

x y^{^{'}} + 4 y = 0, y (1) = \frac{3}{2}

Frequently Asked Questions (FAQ)

What is the solution for 3(dx)/(dt)+2x=4,x=0 ?
The solution for 3(dx)/(dt)+2x=4,x=0 is x=-2e^{-(2t)/3}+2