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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{2 t} + c_{2} e^{- t} - \frac{11}{5} sin (t) + \frac{7}{5} cos (t)

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{2 t} + c_{2} e^{- t} - \frac{11}{5} sin (t) + \frac{7}{5} cos (t)

y = c_{1} e^{2 t} + c_{2} e^{- t} - \frac{11}{5} sin (t) + \frac{7}{5} cos (t)

Graph

Beliebte Beispiele

y^{''}+6y^'+13y=13x^2

y^{^{''}} + 6 y^{^{'}} + 13 y = 13 x^{2}

2y^{''}-y^'-y=t+1,y(0)=1,y^'(0)=0

2 y^{^{''}} - y^{^{'}} - y = t + 1, y (0) = 1, y^{^{'}} (0) = 0

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

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

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

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

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

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