y^{''}-y^'-11y=0

Lösung

y^{^{''}} - y^{^{'}} - 11 y = 0

y = c_{1} e^{\frac{( 1 + 3 5 ) t}{2}} + c_{2} e^{\frac{( 1 - 3 5 ) t}{2}}

Schritte zur Lösung

y^{''} (t) - y^{'} (t) - 11 y = 0

Solve linear ODE:

y = c_{1} e^{\frac{( 1 + 3 5 ) t}{2}} + c_{2} e^{\frac{( 1 - 3 5 ) t}{2}}

y = c_{1} e^{\frac{( 1 + 3 5 ) t}{2}} + c_{2} e^{\frac{( 1 - 3 5 ) t}{2}}

y^{^{''}} + 2 y^{^{'}} + 5 y = 0, y (0) = 2, y (0) = 4

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

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

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

\frac{d ^{2} x}{d t ^{2}} = - 49 x