must be used to obtain the particular solution desired here Since tan 10 0 and...

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Calculus

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must be used to obtain the particular solution desired here Since tan 10 0 and tan 1 c 0 7 Thus the solution of the initial value problem is 77 tan x tan y Let us look at another example Example 3 Solved Solution Let us write the given equation as 1 ky my2 dx dy 1 Let Now we will try to decompose the coefficient of dy into partial fractions 1 B y k my A yk my where A and B are constants to be determined From 6 we get 1 A k my By or 4 which gives 1 Ak and 1 M 1 ky my2 where k 0 and m 0 are real constants and R E Bk m 6

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