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Popular Calculus >

(dy)/(dx)=2y-xy

Solution

\frac{d y}{d x} = 2 y - x y

Solution

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

Solution steps

\frac{d y}{d x} = 2 y - x y

Solve separable ODE:

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

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

Graph

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Frequently Asked Questions (FAQ)

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