en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)=y-a

Solution

\frac{d y}{d x} = y - a

Solution

y = e^{x + c_{1}} + a

Solution steps

\frac{d y}{d x} = y - a

Solve separable ODE:

y = e^{x + c_{1}} + a

y = e^{x + c_{1}} + a

Popular Examples

3t^5(dx)/(dt)+6x-5=0

3 t^{5} \frac{d x}{d t} + 6 x - 5 = 0

(dy)/(dx)=3-0.04y

\frac{d y}{d x} = 3 - 0.04 y

(dy)/(dx)=(ycos(x))/(1+y^2),y(0)=1

\frac{d y}{d x} = \frac{y cos ( x )}{1 + y ^{2}}, y (0) = 1

d/(dθ)(y(θ))+y(θ)=0

\frac{d}{d θ} (y (θ)) + y (θ) = 0

y^'=-3y,y(0)=e^{-3t},y(0)=1

y^{^{'}} = - 3 y, y (0) = e^{- 3 t}, y (0) = 1

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=y-a ?
The solution for (dy)/(dx)=y-a is y=e^{x+c_{1}}+a