(D^2+3D-10)y=0

Lösung

(D^{2} + 3 D - 10) y = 0

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

Schritte zur Lösung

(D^{2} + 3 D - 10) y = 0

Solve linear ODE:

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

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

y^{^{''}} + 8 y^{^{'}} + 8 y = 0

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

y^{^{''}} - 2 y^{^{'}} - 15 y = 0, y (0) = 2, y^{^{'}} (0) = 6

\frac{d ^{2} y}{d x ^{2}} = 5 y, y (0) = - 2, y (2) = 10

y^{^{''}} - y = 0, y (0) = - 2, y^{^{'}} (0) = 2