(1) Find the general solution for each of the following separable differential equations. (a) (yz - y)- dy _ = x+ Inx dx (b) dy - 5x y - 3xy dxdy (323 + 2202 + 5)y (c) dx x(4y3 + 3y) x(32 + 1) 4 (d) ; y(2 + 2)(2) Find the particular solution for each initial value problem. d9 12 =2 ' 4: Warm 931nm) 9 (c) to = (y+2)6; y(0) = -1 dy 6x2y (d) ; dx 2-23 ; y(0) = 1