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

The solution for xy^2(dy)/(dx)=y^3-x^3,y(1)=2 is y=x\sqrt[3]{-3ln(x)+8}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

Solution steps

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

Solve Bernoulli ODE:

x \to 1 lim (x (x + 1))

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

\frac{d}{d x} (x^{4} - 3 x^{2} + 4)

\frac{d}{d x} (\frac{6 x}{3 - cot ( x )})

x \to 0 lim (x^{3} - 1)

What is the solution for xy^2(dy)/(dx)=y^3-x^3,y(1)=2 ?
The solution for xy^2(dy)/(dx)=y^3-x^3,y(1)=2 is y=x\sqrt[3]{-3ln(x)+8}