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Beliebt Rechnen >

4y^{''}+y=cos(t)

Lösung

4 y^{^{''}} + y = cos (t)

Lösung

y = c_{1} cos (\frac{t}{2}) + c_{2} sin (\frac{t}{2}) - \frac{1}{3} cos (t)

Schritte zur Lösung

4 y^{''} (t) + y = cos (t)

Solve linear ODE:

y = c_{1} cos (\frac{t}{2}) + c_{2} sin (\frac{t}{2}) - \frac{1}{3} cos (t)

y = c_{1} cos (\frac{t}{2}) + c_{2} sin (\frac{t}{2}) - \frac{1}{3} cos (t)

Graph

Beliebte Beispiele

y^{''}+y=7xsin(x)

y^{^{''}} + y = 7 x sin (x)

y^{''}-y=e^{-2x}sin(e^{-x})

y^{^{''}} - y = e^{- 2 x} sin (e^{- x})

y^{''}-8y^'+20y=200x^2-91xe^x

y^{^{''}} - 8 y^{^{'}} + 20 y = 200 x^{2} - 91 x e^{x}

x^{''}+x=sin^2(t)

x^{^{''}} + x = sin^{2} (t)

y^{''}+3y^'+2y=e^{-x}

y^{^{''}} + 3 y^{^{'}} + 2 y = e^{- x}