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Popular >

(dy)/(dx)=xy-y

Solution

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

Solution

y = e^{\frac{x ^{2}}{2} - x + c_{1}}

Solution steps

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

Solve separable ODE:

y = e^{\frac{x ^{2}}{2} - x + c_{1}}

y = e^{\frac{x ^{2}}{2} - x + c_{1}}

Popular Examples

d/(dy)((x+y)/(xy))

\frac{d}{d y} (\frac{x + y}{x y})

derivative of y=sin^4(x)derivative of

y = sin^{4} (x)

integral from 0 to 2 of pi(2x)^2

\int_{0}^{2} π (2 x)^{2} d x

limit as x approaches-3 of 8+x

x \to - 3 lim (8 + x)

derivative of e^{6xcos(x})

\frac{d}{d x} (e^{6 x c o s (x)})

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=xy-y ?
The solution for (dy)/(dx)=xy-y is y=e^{(x^2)/2-x+c_{1}}