Question: 11. [10 marks] For the functions r = e2s cos(0) , s = sin(nt) , 0 = cos(2nt), find - as a function of t.

11. [10 marks] For the functions r = e2s cos(0) , s = sin(nt) , 0 = cos(2nt), find - as a function of t. Evaluate - in t = =. Express you answer in terms of n. Swinburne University of Technology Department of Mathematics 12. [12 marks] Solve the following differential equation by making the substitution v = = and X then finding an integrating factor: dx -2x+ tx2 dt

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