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Popular Calculus >

(dx)/(dy)=-x^2+7x-8

Solution

\frac{d x}{d y} = - x^{2} + 7 x - 8

Solution

x = - \frac{7 e ^{17 y + 17 c_{1}}}{2 ( 1 - e ^{17 (y + c_{1})} )} - \frac{17 e ^{17 y + 17 c_{1}}}{2 ( 1 - e ^{17 (y + c_{1})} )} - \frac{17}{2 ( 1 - e ^{17 (y + c_{1})} )} + \frac{7}{2 ( 1 - e ^{17 (y + c_{1})} )}

Solution steps

\frac{d x}{d y} = - x^{2} + 7 x - 8

Solve separable ODE:

x = - \frac{7 e ^{17 y + 17 c_{1}}}{2 ( 1 - e ^{17 (y + c_{1})} )} - \frac{17 e ^{17 y + 17 c_{1}}}{2 ( 1 - e ^{17 (y + c_{1})} )} - \frac{17}{2 ( 1 - e ^{17 (y + c_{1})} )} + \frac{7}{2 ( 1 - e ^{17 (y + c_{1})} )}

x = - \frac{7 e ^{17 y + 17 c_{1}}}{2 ( 1 - e ^{17 (y + c_{1})} )} - \frac{17 e ^{17 y + 17 c_{1}}}{2 ( 1 - e ^{17 (y + c_{1})} )} - \frac{17}{2 ( 1 - e ^{17 (y + c_{1})} )} + \frac{7}{2 ( 1 - e ^{17 (y + c_{1})} )}

Graph

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Frequently Asked Questions (FAQ)

What is the solution for (dx)/(dy)=-x^2+7x-8 ?
The solution for (dx)/(dy)=-x^2+7x-8 is