en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x^2+9)(dy)/(dx)=xy

Solution

(x^{2} + 9) \frac{d y}{d x} = x y

Solution

y = c_{1} x^{2} + 9

Solution steps

(x^{2} + 9) \frac{d y}{d x} = x y

Solve separable ODE:

y = c_{1} x^{2} + 9

y = c_{1} x^{2} + 9

Graph

Popular Examples

y^'+16y=80,y(0)=-2

y^{^{'}} + 16 y = 80, y (0) = - 2

y^'=xy^2sin(x^2),y(0)=1

y^{^{'}} = x y^{2} sin (x^{2}), y (0) = 1

y^'=sqrt(y^2+1)

y^{^{'}} = y^{2} + 1

x+3y^2sqrt(x^2+1)y^'=0

x + 3 y^{2} x^{2} + 1 y^{^{'}} = 0

y^'=(6x)/(1+2y),y(3)=0

y^{^{'}} = \frac{6 x}{1 + 2 y}, y (3) = 0

Frequently Asked Questions (FAQ)

What is the solution for (x^2+9)(dy)/(dx)=xy ?
The solution for (x^2+9)(dy)/(dx)=xy is y=c_{1}sqrt(x^2+9)