en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

y = - \frac{2}{ln ( x ) + c _{1}}

Solution steps

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

Solve separable ODE:

y = - \frac{2}{ln ( x ) + c _{1}}

y = - \frac{2}{ln ( x ) + c _{1}}

Graph

Popular Examples

(dy)/(dx)+(xy)/(1-x^2)=(xy^2)/(1-x^2)

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

(df)/(dx)=-f(x)

\frac{df}{d x} = - f (x)

y^{^{'}} = 2 x y (1 + y^{2})

y^'=((xe^x)/(2y))

y^{^{'}} = (\frac{x e ^{x}}{2 y})

(dy)/(dx)=x*e^y,y(2)=0

\frac{d y}{d x} = x \cdot e^{y}, y (2) = 0

Frequently Asked Questions (FAQ)

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