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Beliebt Rechnen >

y^{''}+16y=0.5sin(4t),y(0)=0.5

Lösung

y^{^{''}} + 16 y = 0.5 sin (4 t), y (0) = 0.5

Lösung

y = 0.5 cos (4 t) + c_{2} sin (4 t) - 0.0625 t cos (4 t)

Schritte zur Lösung

y^{''} (t) + 16 y = 0.5 sin (4 t)

Solve linear ODE:

y = 0.5 cos (4 t) + c_{2} sin (4 t) - 0.0625 t cos (4 t)

y = 0.5 cos (4 t) + c_{2} sin (4 t) - 0.0625 t cos (4 t)

Graph

Beliebte Beispiele

(D^2+9)y=81x^2+(14cos(x))

(D^{2} + 9) y = 81 x^{2} + (14 cos (x))

y^{'''}-6y^{''}+12y^'-8y=t^{-2}e^{2t}

y^{^{'''}} - 6 y^{^{''}} + 12 y^{^{'}} - 8 y = t^{- 2} e^{2 t}

y^{''}+y^'= 1/(x^2)

y^{^{''}} + y^{^{'}} = \frac{1}{x ^{2}}

y^{^{''}} - y = x - 1

y^{''}+4y=t^2+8e^t,y(0)=0,y^'(0)=7

y^{^{''}} + 4 y = t^{2} + 8 e^{t}, y (0) = 0, y^{^{'}} (0) = 7