8y^{''}+128y=0,y(0)=5,y^'(0)=8

Lösung

8 y^{^{''}} + 128 y = 0, y (0) = 5, y^{^{'}} (0) = 8

y = 5 cos (4 t) + 2 sin (4 t)

Schritte zur Lösung

8 y^{''} (t) + 128 y = 0

Solve linear ODE:

y = 5 cos (4 t) + 2 sin (4 t)

y = 5 cos (4 t) + 2 sin (4 t)

y^{^{''}} + 7 y^{^{'}} = 0, y (0) = 8, y^{^{'}} (0) = - 3

y^{^{''}} - 2 y^{^{'}} - 3 y = 0, y^{^{'}} (0) = 4

36 \frac{d ^{2} y}{d x ^{2}} + 12 \frac{d y}{d x} + y = 0

y^{^{''}} + 6 y^{^{'}} + 8 y = 0, y (0) = - 1, y^{^{'}} (0) = 2

y^{^{''}} - 4 y + 13 y = 0