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Beliebt Rechnen >

(d^2x)/(dt^2)+81x=0

Lösung

\frac{d ^{2} x}{d t ^{2}} + 81 x = 0

Lösung

x = c_{1} cos (9 t) + c_{2} sin (9 t)

Schritte zur Lösung

\frac{d ^{2} x}{d t ^{2}} + 81 x = 0

Solve linear ODE:

x = c_{1} cos (9 t) + c_{2} sin (9 t)

x = c_{1} cos (9 t) + c_{2} sin (9 t)

Graph

Beliebte Beispiele

1/4 y^{''}+y^'+4y=0

\frac{1}{4} y^{^{''}} + y^{^{'}} + 4 y = 0

y^{'''}+5y^{''}+3y^'-9y=0

y^{^{'''}} + 5 y^{^{''}} + 3 y^{^{'}} - 9 y = 0

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

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

15y^{''''}+128y^{''}+25y=0

15 y^{^{''''}} + 128 y^{^{''}} + 25 y = 0

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

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