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Nitisha pandey Asked a Question
November 4, 2020 10:16 ampts 30 pts
which 1 thes foc Y,2y Example Solve sin'xy dx given y cot x is a solution. dy2 cosecx y0 dx Clearly 0. Now putting y=vcot P The given equation is Solution 2 du )d 0 0 where u cot x dx u dx dx dv d'v da Now take dx a, da 0+ -cosec?x)a -0 dx dx dx cotx da 2 dx Sinx c0S X or, Integrating log a = 4 cosec 2x dx +log c. = 2 log tan x + log c, dv a =C, tan x dx or, dv = c, (sec? x 1) dx Integrating v = c,(tan x x) dx + C, y = C, Ccot (tan x - x)+C, cot x , ired CS. or
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  • Mahendra devanda thankyou
    see the attachment
    • cropped98604061768880539.jpg
    • cropped7541498468963927636.jpg
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