(d^3y)/(dx^3)-8y=0

Lösung

\frac{d ^{3} y}{d x ^{3}} - 8 y = 0

y = c_{1} e^{2 x} + e^{- x} (c_{2} cos (3 x) + c_{3} sin (3 x))

Schritte zur Lösung

\frac{d ^{3} y}{d x ^{3}} - 8 y = 0

Solve linear ODE:

y = c_{1} e^{2 x} + e^{- x} (c_{2} cos (3 x) + c_{3} sin (3 x))

y = c_{1} e^{2 x} + e^{- x} (c_{2} cos (3 x) + c_{3} sin (3 x))

3 y^{^{''}} + 2 y^{^{'}} - 8 y = 0, y (0) = - 6, y^{^{'}} (0) = - 18

10 y^{^{''}} - 3 y^{^{'}} = 0

\frac{d ^{2} x}{d t ^{2}} = x

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

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