y^'=y(1-x),y(1)=e

Lösung

y^{^{'}} = y (1 - x), y (1) = e

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

Schritte zur Lösung

y^{'} (x) = y (1 - x)

Solve separable ODE:

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

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

4 y = y^{^{'}}

x y d x + d y = 0

(sin (x)) d y = 2 y (cos (x)) d x

- (x y^{^{'}} + y) (csc (2) (x y) - 1) = 0

y^{^{'}} = 0.2 (y - 100)