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Popular >

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

Solution

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

Solution

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

Solution steps

\frac{d y}{d x} 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}

Graph

Popular Examples

tangent of y=x^2+12x-3 tangent of

y = x^{2} + 12 x - 3

integral of x^{2n-2}

\int x^{2 n - 2} d x

derivative of y=(8x^2+4x+8)/(sqrt(x))derivative of

y = \frac{8 x ^{2} + 4 x + 8}{x}

integral from-1 to 1 of t^3(1+t^4)^3

\int_{- 1}^{1} t^{3} (1 + t^{4})^{3} d t

derivative of (e^x/(ln(x)))

\frac{d}{d x} (\frac{e ^{x}}{ln ( x )})

Frequently Asked Questions (FAQ)

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