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Beliebt Rechnen >

y^{''}+y=cos((-t+pi)/2)

Lösung

y^{^{''}} + y = cos (\frac{- t + π}{2})

Lösung

y = c_{1} cos (t) + c_{2} sin (t) + \frac{4}{3} cos (\frac{- t + π}{2})

Schritte zur Lösung

y^{''} (t) + y = cos (\frac{- t + π}{2})

Solve linear ODE:

y = c_{1} cos (t) + c_{2} sin (t) + \frac{4}{3} cos (\frac{- t + π}{2})

y = c_{1} cos (t) + c_{2} sin (t) + \frac{4}{3} cos (\frac{- t + π}{2})

Graph

Beliebte Beispiele

(D^2+9)y=4cos(3x)

(D^{2} + 9) y = 4 cos (3 x)

y^{''}+2y^'=2x+9-e-2x

y^{^{''}} + 2 y^{^{'}} = 2 x + 9 - e - 2 x

y^{''}-4y^'+4y=2t^2+4te^{2t}+tsin(2t)

y^{^{''}} - 4 y^{^{'}} + 4 y = 2 t^{2} + 4 t e^{2 t} + t sin (2 t)

y^{''}-12y^'+36y=(x+1)e^x

y^{^{''}} - 12 y^{^{'}} + 36 y = (x + 1) e^{x}

y^{''}+2y^'+y=(e^{-t})/(t+1)

y^{^{''}} + 2 y^{^{'}} + y = \frac{e ^{- t}}{t + 1}