What is the solution for x^2(dy)/(dx)=y-xy,y(-1)=-4 ?

The solution for x^2(dy)/(dx)=y-xy,y(-1)=-4 is y= 4/(ee^{1/x)x}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

x^2(dy)/(dx)=y-xy,y(-1)=-4

x^{2} \frac{d y}{d x} = y - x y, y (- 1) = - 4

y = \frac{4}{e e ^{\frac{1}{x}} x}

Solution steps

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

Solve linear ODE:

y = \frac{4}{e e ^{\frac{1}{x}} x}

y = \frac{4}{e e ^{\frac{1}{x}} x}

What is the solution for x^2(dy)/(dx)=y-xy,y(-1)=-4 ?
The solution for x^2(dy)/(dx)=y-xy,y(-1)=-4 is y= 4/(ee^{1/x)x}