x^{''}+36x=0

Lösung

x^{^{''}} + 36 x = 0

x = c_{1} cos (6 t) + c_{2} sin (6 t)

Schritte zur Lösung

x^{''} (t) + 36 x = 0

Solve linear ODE:

x = c_{1} cos (6 t) + c_{2} sin (6 t)

x = c_{1} cos (6 t) + c_{2} sin (6 t)

l in e a r \frac{d ^{2} y}{d x ^{2}} - 13 \frac{d y}{d x} + 12 y = 0

- 2 y^{^{''}} - 2 \cdot π^{2} y = 0

y^{^{''}} + 6 y^{^{'}} + 9 y = 0, y (0) = 4, y^{^{'}} (0) = 1

2 y^{^{''}} + 5 y^{^{'}} - 3 y = 0, y (0) = 22

y^{^{''}} - 2 y^{^{'}} - 15 y = 0, y (0) = 1, y^{^{'}} (0) = 37