en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^2(dy)/(dx)+xy=1

Solution

x^{2} \frac{d y}{d x} + x y = 1

Solution

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

Solution steps

x^{2} \frac{d y}{d x} + x y = 1

Solve linear ODE:

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

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

Popular Examples

derivative of f(x)=9-4x^2 derivative of

f (x) = 9 - 4 x^{2}

integral of sec^2(6x)

\int sec^{2} (6 x) d x

integral of t/(e^t)

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

integral of (x+3)/(x^2-x+4)

\int \frac{x + 3}{x ^{2} - x + 4} d x

y^{''}+2y^'+y=4e-t

y^{^{''}} + 2 y^{^{'}} + y = 4 e - t

Frequently Asked Questions (FAQ)

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