y^{''}+81y=0,y(0)=4,y^'(0)=7

Lösung

y^{^{''}} + 81 y = 0, y (0) = 4, y^{^{'}} (0) = 7

y = 4 cos (9 t) + \frac{7}{9} sin (9 t)

Schritte zur Lösung

y^{''} (t) + 81 y = 0

Solve linear ODE:

y = 4 cos (9 t) + \frac{7}{9} sin (9 t)

y = 4 cos (9 t) + \frac{7}{9} sin (9 t)

im pl i c i t \frac{d y}{d x}, \frac{y}{x} = 0

x \to 0 lim (ln (x) sin (x))

\int_{- 2}^{7} \frac{d}{d t} ((t - 7) (1 - t)) d t

\int_{0}^{0.6} 500 x d x

d er i v a t i v e (8 x^{3} - 5 x + 2)^{π}