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

Lösung

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

y = - e^{- t}

Schritte zur Lösung

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

Solve linear ODE:

y = - e^{- t}

y = - e^{- t}

x^{^{'''}} + x^{^{''}} - 6 x^{^{'}} = 0

4 y^{^{''}} - y^{^{'}} + 17 y = 0

y^{^{''}} + \frac{4}{3} y^{^{'}} + y = 0, y (0) = 1, y^{^{'}} (0) = - \frac{10}{3}

y^{^{''}} + 15 y^{^{'}} = 0, y (0) = - 27, y^{^{'}} (0) = 15

625 y^{^{''}} + 729 y = 0, y (0) = 7, y^{^{'}} (0) = 3