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Beliebt Rechnen >

y^{''}+4y=3cos(t)

Lösung

y^{^{''}} + 4 y = 3 cos (t)

Lösung

y = c_{1} cos (2 t) + c_{2} sin (2 t) + cos (t)

Schritte zur Lösung

y^{''} (t) + 4 y = 3 cos (t)

Solve linear ODE:

y = c_{1} cos (2 t) + c_{2} sin (2 t) + cos (t)

y = c_{1} cos (2 t) + c_{2} sin (2 t) + cos (t)

Graph

Beliebte Beispiele

x^{''}-12x^'+36x=2t+e^{6t}

x^{^{''}} - 12 x^{^{'}} + 36 x = 2 t + e^{6 t}

4y^{''}-y=(ex)/(2+5)

4 y^{^{''}} - y = \frac{e x}{2 + 5}

y^{''}+2y^'+2y=4e^{-x}cos(x)

y^{^{''}} + 2 y^{^{'}} + 2 y = 4 e^{- x} cos (x)

(d^2x)/(dt^2)+6(dx)/(dt)-5x=e^{-t}

\frac{d ^{2} x}{d t ^{2}} + 6 \frac{d x}{d t} - 5 x = e^{- t}

y^{''}+3y^'+2y=e^{2x}cos(x)

y^{^{''}} + 3 y^{^{'}} + 2 y = e^{2 x} cos (x)