InterviewSolution
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InterviewSolution
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Solve `(dy)/(dx) =y cot 2x, " given that " y =2 " when " x =(pi)/(4)`. |
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Answer» Correct Answer - `y=2sqrt(sin 2x)` `int (dy)/(dx)=int (cos 2x)/(sin2x)dx rArr log |y| = (1)/(2) log |sin 2x|+log |C_(1)|` `therefore (y)/(sqrt(sin2x))=C_(1) rArr (y)/(sqrt(sin2x))=pm C_(1)=C "(say). " ` ...(i) Putting `x = (pi)/(4)` and y = 2 in (i), we get C = 2. Hence, `y=2sqrt(sin 2x).` |
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