2(d^4+11d^3-4d^2-69d+34)y=0

Lösung

2 (d^{4} + 11 d^{3} - 4 d^{2} - 69 d + 34) y = 0

y = c_{1} e^{0.49902 \dots x} + c_{2} e^{2.16991 \dots x} + c_{3} e^{- 2.92151 \dots x} + c_{4} e^{- 10.74742 \dots x}

Schritte zur Lösung

2 (d^{4} + 11 d^{3} - 4 d^{2} - 69 d + 34) y = 0

Solve linear ODE:

y = c_{1} e^{0.49902 \dots x} + c_{2} e^{2.16991 \dots x} + c_{3} e^{- 2.92151 \dots x} + c_{4} e^{- 10.74742 \dots x}

y = c_{1} e^{0.49902 \dots x} + c_{2} e^{2.16991 \dots x} + c_{3} e^{- 2.92151 \dots x} + c_{4} e^{- 10.74742 \dots x}

(d^{3} - 3 d + 2) y = 0

y^{^{''}} - 2 y^{^{'}} + 5 y = 0, y (0) = 1, y^{^{'}} (0) = 3

(d^{3} + 1) y = 0

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

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