en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(df)/(dx)=f(x)

Solution

\frac{df}{d x} = f (x)

Solution

f (x) = e^{x + c_{1}}

Solution steps

\frac{df}{d x} = f

Solve separable ODE:

f (x) = e^{x + c_{1}}

f (x) = e^{x + c_{1}}

Popular Examples

(4x+xy^2)dx+(y+x^2y)dy=0,y(1)=2

(4 x + x y^{2}) d x + (y + x^{2} y) d y = 0, y (1) = 2

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

(dy)/(dx)=(5(1+x))/(xy)

\frac{d y}{d x} = \frac{5 ( 1 + x )}{x y}

(8x+2)dx+(15y^2+3)dy=0,y(1)=1

(8 x + 2) d x + (15 y^{2} + 3) d y = 0, y (1) = 1

y^2dx+sin(x)dy=0

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

Frequently Asked Questions (FAQ)

What is the solution for (df)/(dx)=f(x) ?
The solution for (df)/(dx)=f(x) is f(x)=e^{x+c_{1}}