1/2 x^{''}+3x^'+4x=0,x(0)=3,x^'(0)=0

Lösung

\frac{1}{2} x^{^{''}} + 3 x^{^{'}} + 4 x = 0, x (0) = 3, x^{^{'}} (0) = 0

x = 6 e^{- 2 t} - 3 e^{- 4 t}

Schritte zur Lösung

\frac{1}{2} x^{''} (t) + 3 x^{'} (t) + 4 x = 0

Solve linear ODE:

x = 6 e^{- 2 t} - 3 e^{- 4 t}

x = 6 e^{- 2 t} - 3 e^{- 4 t}

y^{^{'''}} - 7 y^{^{''}} + 10 y = 0, y (0) = 7

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

l in e a r y^{^{''}} - y^{^{'}} = 0, y (0) = cos (x)

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

y^{^{''}} - 13 y^{^{'}} - 40 y = 0