Please provide all steps necessary to find the correct answer to the question.

3. (40 points) Provide an implicit general solution and an explicit particular solution for the following equation given y(x = 1) = 215 To receive full credit, show all steps. [Note y' = %.] y' =6y' To vesity: 32 - - 28 y' = 320 - 28 Use differentiation scute (# ) = d ( f ) 2 2 8' = 3x - - 28) 6 2 ( 32 7 - 28) 2 ( 3x( 2 - 28) 2 y = 6 x x X ( : 32 = ( 32 2- 28 ) 2 ( 3 x 7 - 28 ) 3 y = 6 42 x which is given differential Equation Also, when * = 1 , y ( x = 1 ) = 3-28 25