en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

xy^'+y=x^2+1

Solution

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

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Popular Examples

derivative of (3cos(2x+sin(3x))^2)

\frac{d}{d x} ((3 cos (2 x) + sin (3 x))^{2})

integral of (x^{-1})

\int (x^{- 1}) d x

integral of 4te^{4t}

\int 4 t e^{4 t} d t

integral of 6x^2+4

\int 6 x^{2} + 4 d x

derivative of e^{t/9}sin(t/9)derivative of

e^{\frac{t}{9}} sin (\frac{t}{9})

Frequently Asked Questions (FAQ)

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