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

Lösung

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

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})} )}

Schritte zur Lösung

\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})} )}

\int \frac{x ^{4} - 2 x ^{2} + 3}{x ^{2}} d x

n = 1 \sum \infty \frac{n ^{n}}{n !}

4 \frac{d y}{d x} + 28 y = 7

(x^{l n (x)})^{^{'}}

in v erse l a pl a ce \frac{( s + 3 )}{( s ^{2} )}