y^'=y^{''}

Lösung

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

y = c_{1} + c_{2} e^{t}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} + c_{2} e^{t}

y = c_{1} + c_{2} e^{t}

2 y^{^{''}} + 4 y^{^{'}} - 7 y = 0

81 y^{^{''''}} = 16 y

y^{^{''}} - 441 y = 0

\frac{d ^{2} x}{d t ^{2}} + 6 \frac{d x}{d t} + 10 x = 0

y^{^{'''}} + 2 y^{^{''}} + 4 y^{^{'}} + 8 y = 0