Mathematics Tripos Papers

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  • Part IB
  • Part II
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Paper 2, Section I, A

Differential Equations | Part IA, 2013

Solve the equation

y¨−y˙−2y=3e2t+3e−t+3+6t\ddot{y}-\dot{y}-2 y=3 e^{2 t}+3 e^{-t}+3+6 ty¨​−y˙​−2y=3e2t+3e−t+3+6t

subject to the conditions y=y˙=0y=\dot{y}=0y=y˙​=0 at t=0t=0t=0.

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