x^{''}+5x^{''}+6x=0

Lösung

x^{^{''}} + 5 x^{^{''}} + 6 x = 0

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

Schritte zur Lösung

x^{''} (t) + 5 x^{''} (t) + 6 x = 0

Solve linear ODE:

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

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

y^{^{''''}} - 2 y^{^{'''}} - 7 y^{^{''}} = 0

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

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

25 y^{^{''}} - 30 y^{^{'}} + 9 y = 0, y^{1} (0) = e^{3} \frac{x}{5}

4 y^{^{''}} - 4 y^{^{'}} + y = 0, y (0) = 1, y^{^{'}} (0) = - 1.5