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Popular >

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

Solution

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

Solution

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

Solution steps

x \frac{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

sum from n=0 to infinity of (x^n)/(3^n)

n = 0 \sum \infty \frac{x ^{n}}{3 ^{n}}

x^2yy^'+3xy^2=0

x^{2} y y^{^{'}} + 3 x y^{2} = 0

tangent of y=5x-4x^2,(-2,-26)tangent of

y = 5 x - 4 x^{2}, (- 2, - 26)

integral of (x^5+x)/(x+1)

\int \frac{x ^{5} + x}{x + 1} d x

derivative of 2/3 (x^{3/2}+y^{3/2})

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

Frequently Asked Questions (FAQ)

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