y^{''}-4y^'-3y=0

Lösung

y^{^{''}} - 4 y^{^{'}} - 3 y = 0

y = c_{1} e^{(2 + 7) t} + c_{2} e^{(2 - 7) t}

Schritte zur Lösung

y^{''} (t) - 4 y^{'} (t) - 3 y = 0

Solve linear ODE:

y = c_{1} e^{(2 + 7) t} + c_{2} e^{(2 - 7) t}

y = c_{1} e^{(2 + 7) t} + c_{2} e^{(2 - 7) t}

y^{^{''}} + 9 y^{^{'}} + 8 y = 0

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

4 y^{^{''}} + 4 y^{^{'}} + 3 y = 0

2 y^{^{''}} + 5 y^{^{'}} + 3 y = 0, y (0) = 3, y^{^{'}} (0) = - 4

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