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Popular >

(dy)/(dx)=x(6-y)

Solution

\frac{d y}{d x} = x (6 - y)

Solution

y = - e^{- \frac{x ^{2}}{2} - c_{1}} + 6

Solution steps

\frac{d y}{d x} = x (6 - y)

Solve separable ODE:

y = - e^{- \frac{x ^{2}}{2} - c_{1}} + 6

y = - e^{- \frac{x ^{2}}{2} - c_{1}} + 6

Graph

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Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=x(6-y) ?
The solution for (dy)/(dx)=x(6-y) is y=-e^{-(x^2)/2-c_{1}}+6