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Beliebt Rechnen >

y^{''}+64y=0,y(0)= 2/3 ,y^'(0)=-4/3

Lösung

y^{^{''}} + 64 y = 0, y (0) = \frac{2}{3}, y^{^{'}} (0) = - \frac{4}{3}

Lösung

y = \frac{2}{3} cos (8 t) - \frac{1}{6} sin (8 t)

Schritte zur Lösung

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

Solve linear ODE:

y = \frac{2}{3} cos (8 t) - \frac{1}{6} sin (8 t)

y = \frac{2}{3} cos (8 t) - \frac{1}{6} sin (8 t)

Graph

Beliebte Beispiele

(4D^3+4D^2+D)y=0

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

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

y^{''}+4y^'+29y=0,y(0)=0,y^'(0)=5

y^{^{''}} + 4 y^{^{'}} + 29 y = 0, y (0) = 0, y^{^{'}} (0) = 5

y^{''}+2y^'+y=0,y(0)=2,y^'(0)=0

y^{^{''}} + 2 y^{^{'}} + y = 0, y (0) = 2, y^{^{'}} (0) = 0

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