x^{''}-3x^'=0

Lösung

x^{^{''}} - 3 x^{^{'}} = 0

x = c_{1} e^{3 t} + c_{2}

Schritte zur Lösung

x^{''} (t) - 3 x^{'} (t) = 0

Solve linear ODE:

x = c_{1} e^{3 t} + c_{2}

x = c_{1} e^{3 t} + c_{2}

y^{^{''}} + 4 \cdot y^{^{'}} + 4 \cdot y = 0

49 y^{^{''}} - 14 y^{^{'}} + y = 0

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

\frac{3}{4} \cdot x^{^{''}} + 36 x = 0, x^{^{'}} (0) = 0, x (0) = - 6

y^{^{''}} + 6 y^{^{'}} + 8 y = 0, y (0) = 0, y^{^{'}} (0) = - 5