en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dx)/(dy)=2xy

Solution

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

Solution

x = e^{y^{2} + c_{1}}

Solution steps

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

Solve separable ODE:

x = e^{y^{2} + c_{1}}

x = e^{y^{2} + c_{1}}

Graph

Popular Examples

(df)/(dx)+f(x)=0

\frac{df}{d x} + f (x) = 0

(dy)/(dx)=(x^{2-1})/(y^2)

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

y^'=(2x+sec^2(x))/(2y),y(0)=-5

y^{^{'}} = \frac{2 x + sec ^{2} ( x )}{2 y}, y (0) = - 5

2sin(2x)dx+3e^{ey}dy=2xdx

2 sin (2 x) d x + 3 e^{ey} d y = 2 x d x

(dy)/(dx)=2y^2+2y-12

\frac{d y}{d x} = 2 y^{2} + 2 y - 12

Frequently Asked Questions (FAQ)

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