10. (a) Solve the differential equation dy 2- %3D +4 dx given that y =1 when...

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10. (a) Solve the differential equation dy 2х- %3D у+4ху dx given that y =1 when x 1. (b) A particle moving in a straight line experiences a retardation of 0-2v3 m s2, where v is the speed of the particle. The initial speed of the particle is 15 m s-1. Find (i) the speed of the particle after it has travelled a distance of 13 m (ii) the time taken for its speed to reduce to 5 m s-1 where a, be N. b' Give your answer in the form (iii) the average speed of the particle over the first 13 m travelled. where a, be N. Give your answer in the form 10. (a) Solve the differential equation dy 2х- %3D у+4ху dx given that y =1 when x 1. (b) A particle moving in a straight line experiences a retardation of 0-2v3 m s2, where v is the speed of the particle. The initial speed of the particle is 15 m s-1. Find (i) the speed of the particle after it has travelled a distance of 13 m (ii) the time taken for its speed to reduce to 5 m s-1 where a, be N. b' Give your answer in the form (iii) the average speed of the particle over the first 13 m travelled. where a, be N. Give your answer in the form

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