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Beliebt Rechnen >

4q^{''}+8q^'+80q=88

Lösung

4 q^{^{''}} + 8 q^{^{'}} + 80 q = 88

Lösung

q (t) = e^{- t} (c_{1} cos (19 t) + c_{2} sin (19 t)) + \frac{11}{10}

Schritte zur Lösung

4 q^{''} (t) + 8 q^{'} (t) + 80 q (t) = 88

Solve linear ODE:

q (t) = e^{- t} (c_{1} cos (19 t) + c_{2} sin (19 t)) + \frac{11}{10}

q (t) = e^{- t} (c_{1} cos (19 t) + c_{2} sin (19 t)) + \frac{11}{10}

Graph

Beliebte Beispiele

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

(d^2y)/(dx^2)-25y=3x^2-2+e^x

(d^2y)/(dx^2)-4((dy)/(dx))+8y=xe^x

y^{''}-4y^'+4y=5t^2,y(1)=0

(dq)/(20-q)= 1/16 dT