InterviewSolution
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InterviewSolution
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If y sin (sin x) and `(d^(2)y)/(dx^(2))+(dy)/(dx)` tan x + f(x) = 0, then find (x). |
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Answer» Correct Answer - `cos^(2)x sin (sin x)` `(dy)/(dx)=cos (sin x) cos x` `(d^(2)y)/(dx^(2))=-cos ( sin x) sin x + cos x [-sin (sin x)] cos x` `therefore" "(d^(2)y)/(dx^(2))+(dy)/(dx)tan x= -c os ( sin x) sin x-cos^(2) x sin (sin x)+cos (sin x )cos x tan x` `=-cos^(2)x sin (sin x)` `therefore" "(d^(2)y)/(dx^(2))+(dy)/(dx)tan x + cos^(2)x sin (sin x) =0` `therefore" "f(x)=cos^(2)x sin (sin x)` |
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