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Beliebt Rechnen >

x^{''}+64x=0,x(0)= 4/12 ,x^'(0)=0

Lösung

x^{^{''}} + 64 x = 0, x (0) = \frac{4}{12}, x^{^{'}} (0) = 0

Lösung

x = \frac{1}{3} cos (8 t)

Schritte zur Lösung

x^{''} (t) + 64 x = 0

Solve linear ODE:

x = \frac{1}{3} cos (8 t)

x = \frac{1}{3} cos (8 t)

Graph

Beliebte Beispiele

y^{'''}-2y^{''}+8y^'=0

y^{^{'''}} - 2 y^{^{''}} + 8 y^{^{'}} = 0

5 y^{^{''}} + 25 y = 0

-x^{''}+2x^'+x=0

- x^{^{''}} + 2 x^{^{'}} + x = 0

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

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

(D^{2} - 1) y = 0