Question

Question #d689e

Answer 1

`y' =1/3 ( (2 e^(2x) )/ cos ( x+ 3y) - 1 )`

Explanation:

`e^(2x) = sin ( x+ 3y)`

`d/dx ( e^(2x) = sin ( x+ 3y) )`

`implies 2 e^(2x) = cos ( x+ 3y) ( 1 + 3 y')`

`y' =1/3 ( (2 e^(2x) )/ cos ( x+ 3y) - 1 )`