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Popular >

xy^'+xy=1-y

Solution

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

Solution

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

Solution steps

x y^{'} (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

(2xy^2-3y^3)dx+(7-3xy^2)dy=0

(2 x y^{2} - 3 y^{3}) d x + (7 - 3 x y^{2}) d y = 0

f (x) = x \cdot e^{\frac{1}{x}}

integral of sec^3(3x)tan(3x)

\int sec^{3} (3 x) tan (3 x) d x

derivative of 9/(2x^2)

\frac{d}{d x} (\frac{9}{2 x ^{2}})

\frac{d y}{d x} = 20 - y

Frequently Asked Questions (FAQ)

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