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Beliebt Rechnen >

16y^{''}+64y=0,y(0)=0.3,y^'(0)=-0.2

Lösung

16 y^{^{''}} + 64 y = 0, y (0) = 0.3, y^{^{'}} (0) = - 0.2

Lösung

y = 0.3 cos (2 t) - 0.1 sin (2 t)

Schritte zur Lösung

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

Solve linear ODE:

y = 0.3 cos (2 t) - 0.1 sin (2 t)

y = 0.3 cos (2 t) - 0.1 sin (2 t)

Graph

Beliebte Beispiele

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

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

y^{^{''}} - 5 y + 6 y = 0

(d^2y)/(dx^2)+(dy)/(dx)+8y=0

\frac{d ^{2} y}{d x ^{2}} + \frac{d y}{d x} + 8 y = 0

y^{''}+2y^'=0,y(0)=14,y^'(0)=-10

y^{^{''}} + 2 y^{^{'}} = 0, y (0) = 14, y^{^{'}} (0) = - 10

y^{''}-14y^'+85y=0,y(0)=2,y^'(0)=-4

y^{^{''}} - 14 y^{^{'}} + 85 y = 0, y (0) = 2, y^{^{'}} (0) = - 4