en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Graph

Popular Examples

derivative of f(x)=6xarcsin(x)derivative of

f (x) = 6 x arcsin (x)

(\partial)/(\partial x)(arcsin(4xyz))

\frac{\partial}{\partial x} (arcsin (4 x yz))

tangent of f(x)=sqrt(18x+18),(1,6)tangent of

f (x) = 18 x + 18, (1, 6)

(2xy+2y^2)dx+(x^2+4xy)dy=0

(2 x y + 2 y^{2}) d x + (x^{2} + 4 x y) d y = 0

derivative of x^3(x-2)^2 derivative of

x^{3} (x - 2)^{2}

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)+2y=1 ?
The solution for (dy)/(dx)+2y=1 is y=-(e^{-2x-c_{1}})/2+1/2