4(d^2y)/(dx^2)+36y=0

Lösung

4 \frac{d ^{2} y}{d x ^{2}} + 36 y = 0

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

Schritte zur Lösung

4 \frac{d ^{2} y}{d x ^{2}} + 36 y = 0

Solve linear ODE:

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

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

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

y^{^{''}} + 4 y^{^{'}} - 7 y = 0

y^{^{'''}} - 5 y^{^{''}} + 17 y - 13 y = 0

(D^{3} - 4 D^{2} + 5 D) y = 0

4 y^{^{''''}} - 5 y^{^{''}} - 9 y = 0