3y^{''}-12y^'+87y=0

Lösung

3 y^{^{''}} - 12 y^{^{'}} + 87 y = 0

y = e^{2 t} (c_{1} cos (5 t) + c_{2} sin (5 t))

Schritte zur Lösung

3 y^{''} (t) - 12 y^{'} (t) + 87 y = 0

Solve linear ODE:

y = e^{2 t} (c_{1} cos (5 t) + c_{2} sin (5 t))

y = e^{2 t} (c_{1} cos (5 t) + c_{2} sin (5 t))

x^{^{''}} - 2 x^{^{'}} - x = 0

y^{^{'''}} + 3 y^{^{''}} - 28 y^{^{'}} = 0

y^{^{''}} + 4 y = 0, y (0) = 3, y^{^{'}} (0) = 8

x^{^{''}} + 3 x^{^{'}} = 2 x - (x^{^{'}} + 3 x)

y^{^{''}} + 2 \cdot y = 0