(4D^3-15D^2+5D+6)y=0

Lösung

(4 D^{3} - 15 D^{2} + 5 D + 6) y = 0

y = c_{1} e^{x} + c_{2} e^{\frac{( 11 + 217 ) x}{8}} + c_{3} e^{\frac{( 11 - 217 ) x}{8}}

Schritte zur Lösung

(4 D^{3} - 15 D^{2} + 5 D + 6) y = 0

Solve linear ODE:

y = c_{1} e^{x} + c_{2} e^{\frac{( 11 + 217 ) x}{8}} + c_{3} e^{\frac{( 11 - 217 ) x}{8}}

y = c_{1} e^{x} + c_{2} e^{\frac{( 11 + 217 ) x}{8}} + c_{3} e^{\frac{( 11 - 217 ) x}{8}}

y^{^{''''}} - k^{2} y = 0

y^{^{''}} + 5 y^{^{'}} - 24 y = 0, y (0) = a, y^{^{'}} (0) = 80

44 y^{^{'''}} + 15 y^{^{''}} + y^{^{'}} = 0

16 x^{^{''}} + 8 x^{^{'}} + 145 x = 0, x (0) = - 2, x^{^{'}} (0) = 1

y^{^{''}} + 14 y^{^{'}} + 50 y = 0, y (0) = 1, y^{^{'}} (0) = 0