(d^2y)/(dx^2)-(dy)/(dx)-12y=0

Lösung

\frac{d ^{2} y}{d x ^{2}} - \frac{d y}{d x} - 12 y = 0

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

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} - \frac{d y}{d x} - 12 y = 0

Solve linear ODE:

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

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

4 y^{^{''}} + 17 y = 0, y (0) = 3, y^{^{'}} (0) = 5

y^{^{''}} + 2 y^{^{'}} + 4 y = 0, y (0) = 1

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

y^{^{''}} + 2 y^{^{'}} + 5 y = 0, y (0) = 3, y^{^{'}} (0) = - 7

y^{^{''''}} - 4 y^{^{'''}} + 8 y^{^{''}} - 16 y^{^{'}} + 16 y = 0