y^{''}-11y^'-24y=0

Lösung

y^{^{''}} - 11 y^{^{'}} - 24 y = 0

y = c_{1} e^{\frac{( 11 + 217 ) t}{2}} + c_{2} e^{\frac{( 11 - 217 ) t}{2}}

Schritte zur Lösung

y^{''} (t) - 11 y^{'} (t) - 24 y = 0

Solve linear ODE:

y = c_{1} e^{\frac{( 11 + 217 ) t}{2}} + c_{2} e^{\frac{( 11 - 217 ) t}{2}}

y = c_{1} e^{\frac{( 11 + 217 ) t}{2}} + c_{2} e^{\frac{( 11 - 217 ) t}{2}}

27 \frac{d ^{3} y}{d x ^{3}} + y = 0

(D^{3} - 4 D) y = 0

y^{^{''}} + 10 y^{^{'}} - 11 y = 0

(4 D^{3} - 13 D - 6) y = 0

r^{2} x^{^{''}} + r x^{^{'}} - n^{2} x = 0