en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^'=4+2x

Solution

x^{^{'}} = 4 + 2 x

Solution

x = e^{2 t + c_{1}} - 2

Solution steps

x^{'} (t) = 4 + 2 x

Solve separable ODE:

x = e^{2 t + c_{1}} - 2

x = e^{2 t + c_{1}} - 2

Graph

Popular Examples

(dy)/(dx)=-k(y-70),y(0)=205

\frac{d y}{d x} = - k (y - 70), y (0) = 205

(1+x^2)y^'-xy=xy^2

(1 + x^{2}) y^{^{'}} - x y = x y^{2}

(dh)/(dt)=2sqrt(h)

\frac{d h}{d t} = 2 h

(sqrt(x)+x)(dy)/(dx)=sqrt(y+y)

(x + x) \frac{d y}{d x} = y + y

(dy)/(dx)=(5x^8)/(y^2),y(0)=3

\frac{d y}{d x} = \frac{5 x ^{8}}{y ^{2}}, y (0) = 3

Frequently Asked Questions (FAQ)

What is the solution for x^'=4+2x ?
The solution for x^'=4+2x is x=e^{2t+c_{1}}-2