en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

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

Solution

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

Solution

y = \frac{3 x ^{3}}{2 - x ^{3}}

Solution steps

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

Solve Bernoulli ODE:

y = \frac{3 x ^{3}}{2 - x ^{3}}

y = \frac{3 x ^{3}}{2 - x ^{3}}

Graph

Popular Examples

integral of (-y)/(x^2+y^2)

tangent of f(x)=3x^{2/3}-3,\at x=27

derivative of 12x^{1/2}

integral of sin(9)

integral of 1/(5-3x^2)

Frequently Asked Questions (FAQ)

What is the solution for x(dy)/(dx)-3y=y^2,y(1)=3 ?
The solution for x(dy)/(dx)-3y=y^2,y(1)=3 is y=(3x^3)/(2-x^3)