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Popular >

(xdy)/(dx)+xy=1-y

Solution

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

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Popular Examples

\frac{d y}{d x} = - 2 y

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n = 2 \sum \infty n e^{- 3 n}

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n \to \infty lim (2^{- n})

integral from 0 to-0.5 of 70x

\int_{0}^{- 0.5} 70 x d x

(\partial)/(\partial x)(x*sin(y))

\frac{\partial}{\partial x} (x \cdot sin (y))

Frequently Asked Questions (FAQ)

What is the solution for (xdy)/(dx)+xy=1-y ?
The solution for (xdy)/(dx)+xy=1-y is y= 1/x+(c_{1})/(e^xx)