y^{''}+49y=0,y(pi)=0,y(0)=0

Lösung

y^{^{''}} + 49 y = 0, y (π) = 0, y (0) = 0

y = c_{2} sin (7 t)

Schritte zur Lösung

y^{''} (t) + 49 y = 0

Solve linear ODE:

y = c_{2} sin (7 t)

y = c_{2} sin (7 t)

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

\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