en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

y = \frac{c _{1}}{x} + 1

Solution steps

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

Solve separable ODE:

y = \frac{c _{1}}{x} + 1

y = \frac{c _{1}}{x} + 1

Graph

Popular Examples

derivative of sqrt(sin^3(4x))derivative of

sin^{3} (4 x)

y^{^{'}} - 5 y = 0

derivative of 1/((1-2500x^4))

\frac{d}{d x} (\frac{1}{( 1 - 2500 x ) ^{4}})

integral of 1/(t^4)

\int \frac{1}{t ^{4}} d t

sum from n=1 to infinity of n^7(1+n^8)^0

n = 1 \sum \infty n^{7} (1 + n^{8})^{0}

Frequently Asked Questions (FAQ)

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