en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)=y^2*x^2

Solution

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

Solution

y = - \frac{3}{x ^{3} + c _{1}}

Solution steps

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

Solve separable ODE:

y = - \frac{3}{x ^{3} + c _{1}}

y = - \frac{3}{x ^{3} + c _{1}}

Popular Examples

y^{(5)} + 9 y^{^{'}} = 0

x(y^6+1)dx+y^2(x^4+1)dy=0

x (y^{6} + 1) d x + y^{2} (x^{4} + 1) d y = 0

(dy)/(dx)-2y=6,y=2,x=0

\frac{d y}{d x} - 2 y = 6, y = 2, x = 0

(1+e^x)y*y^'=e^x

(1 + e^{x}) y \cdot y^{^{'}} = e^{x}

(dy)/(dx)=(10(1+x))/(xy)

\frac{d y}{d x} = \frac{10 ( 1 + x )}{x y}

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=y^2*x^2 ?
The solution for (dy)/(dx)=y^2*x^2 is y=-3/(x^3+c_{1)}