` (dy)/(dx) + y cot x = sin 2x `

1.	` (dy)/(dx) + y cot x = sin 2x `
Answer» Correct Answer - ` y sinx = (2)/(3) sin ^(3) x +C ` `IF = e ^(int cot x dx ) = e ^( log sinx ) = sinx ` `therefore y xx sinx =int sin x sin 2x dx +C ` `" " = 2 int sin ^(2) x cos x dx +C = 2 int t ^(2) dt +C, ` where ` sin x = t `

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