-y^{''}-y=0

Lösung

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

y = c_{1} cos (t) + c_{2} sin (t)

Schritte zur Lösung

- y^{''} (t) - y = 0

Solve linear ODE:

y = c_{1} cos (t) + c_{2} sin (t)

y = c_{1} cos (t) + c_{2} sin (t)

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

y^{^{'''}} + 10 y^{^{''}} + 12 y^{^{'}} - 72 y = 0

\frac{d ^{2} y}{d x ^{2}} - 12 \frac{d y}{d x} + 32 y = 0

y^{^{''}} - 3 y^{^{'}} + 2 y = 0, y (0) = \frac{1}{2}, y^{^{'}} (0) = \frac{1}{4}

y^{^{''}} - 4 y^{^{'}} - 5 y = 0, y (- 1) = 3, y (- 1) = 9