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Beliebt Rechnen >

y^{''}+2y=cos(8t)

Lösung

y^{^{''}} + 2 y = cos (8 t)

Lösung

y = c_{1} cos (2 t) + c_{2} sin (2 t) - \frac{1}{62} cos (8 t)

Schritte zur Lösung

y^{''} (t) + 2 y = cos (8 t)

Solve linear ODE:

y = c_{1} cos (2 t) + c_{2} sin (2 t) - \frac{1}{62} cos (8 t)

y = c_{1} cos (2 t) + c_{2} sin (2 t) - \frac{1}{62} cos (8 t)

Graph

Beliebte Beispiele

y^{'''}+y^{''}=2^x

y^{^{'''}} + y^{^{''}} = 2^{x}

y^{''}-y^'-y=x^3

y^{^{''}} - y^{^{'}} - y = x^{3}

y^{''}+9y=sin(x)+cos(x)

y^{^{''}} + 9 y = sin (x) + cos (x)

y^{''}+2y^'+y=sec^2(x)

y^{^{''}} + 2 y^{^{'}} + y = sec^{2} (x)

3x^{''}+48x=153e^{-2t}cos(4t)

3 x^{^{''}} + 48 x = 153 e^{- 2 t} cos (4 t)