en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

x^2y^'=xy+3y^2

Solution

x^{2} y^{^{'}} = x y + 3 y^{2}

Solution

y = \frac{x}{- 3 ln ( x ) + c _{1}}

Solution steps

x^{2} y^{'} (x) = x y + 3 y^{2}

Solve Bernoulli ODE:

y = \frac{x}{- 3 ln ( x ) + c _{1}}

y = \frac{x}{- 3 ln ( x ) + c _{1}}

Graph

Popular Examples

limit as x approaches 0 of cos^{2/x}(x)

(dy)/(dx)=sin(9x)

integral of 1/(x^2+2x+37)

limit as x approaches 1 of cos((pix)/3)

Frequently Asked Questions (FAQ)

What is the solution for x^2y^'=xy+3y^2 ?
The solution for x^2y^'=xy+3y^2 is y= x/(-3ln(x)+c_{1)}