en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)=2+y

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

y^{^{'}} = (2 - y) t

(x-x^2)y^'=2y,y(2)=4

(x - x^{2}) y^{^{'}} = 2 y, y (2) = 4

(dy)/(dx)=(y+1)*(x+1)*cos(x^2+2x)

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

y^'=9*t*e^{-y},y(0)=3

y^{^{'}} = 9 \cdot t \cdot e^{- y}, y (0) = 3

y^'=csc(y)cos(x/2),y(3pi)=(3pi)/2

y^{^{'}} = csc (y) cos (\frac{x}{2}), y (3 π) = \frac{3 π}{2}

Frequently Asked Questions (FAQ)

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