(1/9 d^2-8d-2)y=0

Lösung

(\frac{1}{9} d^{2} - 8 d - 2) y = 0

y = c_{1} e^{3 (12 + 146) x} + c_{2} e^{3 (12 - 146) x}

Schritte zur Lösung

(\frac{1}{9} d^{2} - 8 d - 2) y = 0

Solve linear ODE:

y = c_{1} e^{3 (12 + 146) x} + c_{2} e^{3 (12 - 146) x}

y = c_{1} e^{3 (12 + 146) x} + c_{2} e^{3 (12 - 146) x}

y^{^{''}} - 25 y = 0, y (0) = 0, y^{^{'}} (0) = 20

y^{^{''}} + 6 y^{^{'}} + 34 y = 0, y (0) = 2, y^{^{'}} (0) = - 4

4 y^{^{''}} - 4 y^{^{'}} - 3 y = 0, y (0) = 1, y^{^{'}} (1) = 1

y^{^{''}} + 6 y^{^{'}} + 9 y = 0, y (0) = e^{- 3 x}

2 y^{^{''}} - 7 y^{^{'}} + 5 y = 0, y (0) = 4, y^{^{'}} (0) = 5.5