-5y^'+2y^{''}-y^'-6y=0

Lösung

- 5 y^{^{'}} + 2 y^{^{''}} - y^{^{'}} - 6 y = 0

y = c_{1} e^{\frac{( 3 + 21 ) t}{2}} + c_{2} e^{\frac{( 3 - 21 ) t}{2}}

Schritte zur Lösung

- 5 y^{'} (t) + 2 y^{''} (t) - y^{'} (t) - 6 y = 0

Solve linear ODE:

y = c_{1} e^{\frac{( 3 + 21 ) t}{2}} + c_{2} e^{\frac{( 3 - 21 ) t}{2}}

y = c_{1} e^{\frac{( 3 + 21 ) t}{2}} + c_{2} e^{\frac{( 3 - 21 ) t}{2}}

l in e a r y^{^{''}} + 4 y = 0, y (0) = 2, y^{^{'}} (0) = 2

49 y^{^{''}} - 126 y^{^{'}} + 117 y = 0, y (4) = 2, y^{^{'}} (4) = 2

y^{^{'''}} - 3 y^{^{''}} - 49 y^{^{'}} - 45 y = 0

y^{^{''}} + 5 y^{^{'}} + 6 y = 0, y (0) = 6, y^{^{'}} (0) = - 8

16 y^{^{''}} - 40 y^{^{'}} - 25 y = 0