What is the solution for x(dy)/(dx)+xy=1 ?

The solution for x(dy)/(dx)+xy=1 is y=(\Ei(x))/(e^x)+(c_{1})/(e^x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

y = \frac{Ei ( x )}{e ^{x}} + \frac{c _{1}}{e ^{x}}

Solution steps

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

Solve linear ODE:

y = \frac{Ei ( x )}{e ^{x}} + \frac{c _{1}}{e ^{x}}

y = \frac{Ei ( x )}{e ^{x}} + \frac{c _{1}}{e ^{x}}

\frac{\partial}{\partial x} (e^{5 x y})

\int \frac{1}{1 + 4 t ^{2}} d t

(x + y) d x + x^{2} d y = 0

\frac{\partial}{\partial x} (1 (x - y) \cdot e^{1 y + 4 x^{2}})

\frac{d ^{3}}{d x ^{3}} (6 x + 3)

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