Question

If a particular solution of the differential equation dx dy + 3x2y = y dx 3x y dx dy 2 2  such that y(0) = 2 is given as y + y  =  3 kx e , where , , k  R, then find the value of 2| +  + k|.

Answer 1

9

Answer 2

The given differential equation is a separable equation. After separating variables and integrating, we apply the initial condition y(0)=2. We compare the derived solution with the given form to find the values of lambda, mu and k. We plug in the values into 2| +  + k| to get the final answer.