Let a be a real parameter. Consider the differential equation dy 2r y(1) = a dr...
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Let a be a real parameter. Consider the differential equation dy 2r y(1) = a dr (i) Find the particular solution of this differential equation in explicit form. (ii) Determine the value(s) of the real parameter a for which the range of this partic ular solution is [0, 00). (2 MARKS) (b) Consider the differential equation (8 MARKS) dy dr where k is a real number. Show that any solution of this differential equation trans forms arithmetic progressions into geometric progressions, that is, if ₁,2,...,n is an arithmetic progression, then y(i),y(2).....y() is a geometric progression. (8 MARKS)  ky
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solution Let s work through each part of this problem step by step i Find the particular solution of the differential equation We have the differentia... View the full answer
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