en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)=7y-1

Solution

\frac{d y}{d x} = 7 y - 1

Solution

y = \frac{e ^{7 x + c_{1}}}{7} + \frac{1}{7}

Solution steps

\frac{d y}{d x} = 7 y - 1

Solve separable ODE:

y = \frac{e ^{7 x + c_{1}}}{7} + \frac{1}{7}

y = \frac{e ^{7 x + c_{1}}}{7} + \frac{1}{7}

Graph

Popular Examples

(dy)/(dx)=(cos(3x))/(y^2)

\frac{d y}{d x} = \frac{cos ( 3 x )}{y ^{2}}

(y^2sec(2x)tan(2x))dx+y(sec(2x)+2)dy=0

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

(dS)/(dt)+(7S)/(2460)=0.02

\frac{d S}{d t} + \frac{7 S}{2460} = 0.02

\frac{1}{2} y y^{^{'}} = t^{3}

y^{^{'}} + 0.5 y = 5

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=7y-1 ?
The solution for (dy)/(dx)=7y-1 is y=(e^{7x+c_{1}})/7+1/7