(d^5-d^3)*y=0

Lösung

(d^{5} - d^{3}) \cdot y = 0

y = c_{1} e^{- x} + c_{2} e^{x} + c_{3} + c_{4} x + c_{5} x^{2}

Schritte zur Lösung

(d^{5} - d^{3}) y = 0

Solve linear ODE:

y = c_{1} e^{- x} + c_{2} e^{x} + c_{3} + c_{4} x + c_{5} x^{2}

y = c_{1} e^{- x} + c_{2} e^{x} + c_{3} + c_{4} x + c_{5} x^{2}

y^{^{''}} = k y (x)

4 \frac{d ^{2} x}{d t ^{2}} + c \frac{d x}{d t} + k (x) = 0

y^{^{''}} + 10 y^{^{'}} + 25 y = 0, y (0) = - 4, y^{^{'}} (0) = 18

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

y^{^{'''}} - 3 y^{^{''}} - 13 y^{^{'}} + 15 y = 0