(d^2y)/(dx^2)+ay=0

Lösung

\frac{d ^{2} y}{d x ^{2}} + a y = 0

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

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} + a y = 0

Solve linear ODE:

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

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

\frac{d ^{2} y}{d x ^{2}} + 5 y = 0

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

y^{^{'''}} + 4 y^{^{''}} - 12 y^{^{'}} = 0

y^{^{''}} - 6 y^{^{'}} - 9 y = 0

16 y^{^{''}} - 72 y^{^{'}} + 81 y = 0