en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x^2+3)*(dy)/(dx)=xy

Solution

(x^{2} + 3) \cdot \frac{d y}{d x} = x y

Solution

y = c_{1} x^{2} + 3

Solution steps

(x^{2} + 3) \cdot \frac{d y}{d x} = x y

Solve separable ODE:

y = c_{1} x^{2} + 3

y = c_{1} x^{2} + 3

Popular Examples

sum from n=1 to infinity of 5/(n^5)

n = 1 \sum \infty \frac{5}{n ^{5}}

derivative of 1/(x^4+1/(x^8))

\frac{d}{d x} (\frac{1}{x ^{4}} + \frac{1}{x ^{8}})

derivative of (x^3/3-3/(x^3))

\frac{d}{d x} (\frac{x ^{3}}{3} - \frac{3}{x ^{3}})

integral of x/(x^2-x-1)

\int \frac{x}{x ^{2} - x - 1} d x

(\partial)/(\partial x)(2x+3y-7)

\frac{\partial}{\partial x} (2 x + 3 y - 7)

Frequently Asked Questions (FAQ)

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