y^{''}+3y^'-16y=0

Lösung

y^{^{''}} + 3 y^{^{'}} - 16 y = 0

y = c_{1} e^{\frac{( - 3 + 73 ) t}{2}} + c_{2} e^{\frac{( - 3 - 73 ) t}{2}}

Schritte zur Lösung

y^{''} (t) + 3 y^{'} (t) - 16 y = 0

Solve linear ODE:

y = c_{1} e^{\frac{( - 3 + 73 ) t}{2}} + c_{2} e^{\frac{( - 3 - 73 ) t}{2}}

y = c_{1} e^{\frac{( - 3 + 73 ) t}{2}} + c_{2} e^{\frac{( - 3 - 73 ) t}{2}}

4 y^{^{''}} + 4 y^{^{'}} + 17 y = 0, y (0) = 2

2 y^{^{''}} - 7 y^{^{'}} + 3 y = 0, y (0) = 0, y^{^{'}} (0) = 2

625 y^{^{''''}} = y

y^{^{''}} + 14 y^{^{'}} = 0, y (0) = - 2, y^{^{'}} (0) = 14

l in e a r y^{^{''}} + y^{^{'}} - 2 y = 0, y (0) = 4, y^{^{'}} (0) = 5