en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

xln(x)= y/(y^')

Solution

x ln (x) = \frac{y}{y ^{^{'}}}

Solution

y = c_{1} ln (x)

Solution steps

x ln (x) = \frac{y}{y ^{'} ( x )}

Solve separable ODE:

y = c_{1} ln (x)

y = c_{1} ln (x)

Popular Examples

(dy)/(dt)=3y(1+y)

\frac{d y}{d t} = 3 y (1 + y)

\frac{d v}{d t} = 5 - 2 v

y^'=(1+x)/y ,y(0)=1

y^{^{'}} = \frac{1 + x}{y}, y (0) = 1

(y-(xdy)/(dx))=3(1-(x^2dy)/(dx))

(y - \frac{x d y}{d x}) = 3 (1 - \frac{x ^{2} d y}{d x})

sqrt(x)(dy)/(dx)=e^{8y+sqrt(x)},x>0

x \frac{d y}{d x} = e^{8 y + x}, x > 0

Frequently Asked Questions (FAQ)

What is the solution for xln(x)= y/(y^') ?
The solution for xln(x)= y/(y^') is y=c_{1}ln(x)