y^{''}+0.75y=0

Lösung

y^{^{''}} + 0.75 y = 0

y = c_{1} cos (\frac{3 t}{2}) + c_{2} sin (\frac{3 t}{2})

Schritte zur Lösung

y^{''} (t) + 0.75 y = 0

Solve linear ODE:

y = c_{1} cos (\frac{3 t}{2}) + c_{2} sin (\frac{3 t}{2})

y = c_{1} cos (\frac{3 t}{2}) + c_{2} sin (\frac{3 t}{2})

\frac{3}{2} y^{^{''}} + 3 y^{^{'}} + 15 y = 0

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

(D^{5} - D^{3}) y = 0

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

y^{^{''}} - 9 y^{^{'}} + 20 y = 0, y (0) = 3, y^{^{'}} (0) = 2