en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

xy^'+y=sqrt(x)

Solution

x y^{^{'}} + y = x

Solution

y = \frac{2 x ^{\frac{1}{2}}}{3} + \frac{c _{1}}{x}

Solution steps

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

Solve linear ODE:

y = \frac{2 x ^{\frac{1}{2}}}{3} + \frac{c _{1}}{x}

y = \frac{2 x ^{\frac{1}{2}}}{3} + \frac{c _{1}}{x}

Popular Examples

limit as x approaches a of 1/0

x \to a lim (\frac{1}{0})

integral from 0 to 7 of sqrt(x^2+49)

\int_{0}^{7} x^{2} + 49 d x

integral of (2/x+x/2)

\int (\frac{2}{x} + \frac{x}{2}) d x

(\partial)/(\partial y)(x^2y^2)

\frac{\partial}{\partial y} (x^{2} y^{2})

limit as w approaches 0 of (1-cos(5w))/w

w \to 0 lim (\frac{1 - cos ( 5 w )}{w})

Frequently Asked Questions (FAQ)

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