-y^{''}-2*pi^2y=0

Lösung

- y^{^{''}} - 2 \cdot π^{2} y = 0

y = c_{1} cos (2 π t) + c_{2} sin (2 π t)

Schritte zur Lösung

- y^{''} (t) - 2 \cdot π^{2} y = 0

Solve linear ODE:

y = c_{1} cos (2 π t) + c_{2} sin (2 π t)

y = c_{1} cos (2 π t) + c_{2} sin (2 π t)

y^{^{''}} + 64 y^{^{'}} + 16 y = 0

y^{^{''}} - 14 y^{^{'}} + 49 y = 0, y (0) = 0, y^{^{'}} (0) = 8

y^{^{''}} + 3 y^{^{'}} - 4 y = 0, y (0) = 0, y^{^{'}} (0) = 1

2 x^{^{''}} + 10 x = 0, x (0) = 1, x^{^{'}} (0) = - 2

y^{^{''}} + 12 y^{^{'}} - \frac{25}{4} y = 0, y (0) = 1, y^{^{'}} (0) = 1