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

Solution

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

Solution

y = - \frac{2}{x ^{2} + c _{1}}

Solution steps

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

Solve separable ODE:

y = - \frac{2}{x ^{2} + c _{1}}

y = - \frac{2}{x ^{2} + c _{1}}

Popular Examples

(dV)/(dt)=60-3/100 V

\frac{d V}{d t} = 60 - \frac{3}{100} V

y^'=(xy^2)/(sqrt(1+x^2)),y(0)=1

y^{^{'}} = \frac{x y ^{2}}{1 + x ^{2}}, y (0) = 1

(dy)/(dx)=((y^2+y))/((x^2-x))

\frac{d y}{d x} = \frac{( y ^{2} + y )}{( x ^{2} - x )}

(dy)/(dx)+20xy=0

\frac{d y}{d x} + 20 x y = 0

y^{^{'}} = 2 x y - 4 x

Frequently Asked Questions (FAQ)

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