From 6 we get 1 A k my By which gives 1 Ak and 1...
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Algebra
From 6 we get 1 A k my By which gives 1 Ak and 1 N or A and B Hence 1 y k my ky Thus the given differential equation can be rewritten as 1 Bk m or ky k my dx for y0 and k my 0 In the integration of Eqn 7 the signs of y and k my play an important role We now discuss the following possible cases Case 1 y 0 and k my 0 0 y m For the case under consideration Eqn 7 can be expressed as d ny In k my m k k my my 1 7 which on integrating yields Iny In k my x c where c is a constant of integration The above equation can be further express as In y In k my x c 1 k exp x c k my Case II y 0 When y 0 then k my 0 because m 0 k 0 In this case Eqn 7 on integration can be written as In y In k my x c
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