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Popular >

(dy)/(dx)=x-xy

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

limit as x approaches 4+of sqrt(x^2-16)

x \to 4 + lim (x^{2} - 16)

limit as x approaches 0 of (1^{2x}-1)/x

x \to 0 lim (\frac{1 ^{2 x} - 1}{x})

derivative of ln(c)derivative of

ln (c)

integral of z/(z^2+z-1)

\int \frac{z}{z ^{2} + z - 1} d z

f (x) = sec (3 x)

Frequently Asked Questions (FAQ)

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