en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^2y^'+xy=3

Solution

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

Solution

y = \frac{3 ln ( x )}{x} + \frac{c _{1}}{x}

Solution steps

x^{2} y^{'} (x) + x y = 3

Solve linear ODE:

y = \frac{3 ln ( x )}{x} + \frac{c _{1}}{x}

y = \frac{3 ln ( x )}{x} + \frac{c _{1}}{x}

Graph

Popular Examples

laplacetransform e^{-2t+3}laplace transform

e^{- 2 t + 3}

integral of 4/(θ^2)cos(4/θ)

\int \frac{4}{θ ^{2}} cos (\frac{4}{θ}) d θ

integral of 1/(x(x-4))

\int \frac{1}{x ( x - 4 )} d x

f(x)=(2t)/(2sqrt(t))

f (x) = \frac{2 t}{2 t}

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

y^{^{''}} - 2 y^{^{'}} + y = \frac{( e ^{x} )}{1 + x ^{2}}

Frequently Asked Questions (FAQ)

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