y^{''}-6y^'+8y=0,y(0)=0,y^'(0)=-2

Lösung

y^{^{''}} - 6 y^{^{'}} + 8 y = 0, y (0) = 0, y^{^{'}} (0) = - 2

y = - e^{4 t} + e^{2 t}

Schritte zur Lösung

y^{''} (t) - 6 y^{'} (t) + 8 y = 0

Solve linear ODE:

y = - e^{4 t} + e^{2 t}

y = - e^{4 t} + e^{2 t}

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

y^{^{''}} + 2 y^{^{'}} = 0, y (0) = - 28, y^{^{'}} (0) = 2

y^{^{''}} + 2 y^{^{'}} + 6 y = 0, y (0) = 0, y^{^{'}} (0) = 1

x^{^{''}} - 2 x^{^{'}} + 2 x = 0, x (0) = 0, x^{^{'}} (0) = 1

20 y^{^{''}} + 3 y^{^{'}} - 2 y = 0