(a) Given that r>1 and y > 0, find the general solution of the differential equation...
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(a) Given that r>1 and y > 0, find the general solution of the differential equation dy Ty 1' T - Given that y = 1 at a =, find the value y at c = 2, giving your answer in the form y = ke where k and c constants to be found. (20 marks) (b) Use the method of undetermined coefficients to solve + 2 + y = 54e2", given that da y(0) = 0 and = 3 at r = 0. %3D %3D (20 marks) (a) Given that r>1 and y > 0, find the general solution of the differential equation dy Ty 1' T - Given that y = 1 at a =, find the value y at c = 2, giving your answer in the form y = ke where k and c constants to be found. (20 marks) (b) Use the method of undetermined coefficients to solve + 2 + y = 54e2", given that da y(0) = 0 and = 3 at r = 0. %3D %3D (20 marks)
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