QUESTION 7 Find the general solution of the differential equation ly/x e(2x y) (yl- ery 2x ) /2+ C 0 exyleyz x ) 12 + C Dexyle /4 2x ) 1210 0 EYy1 -24( 2 x ) 12 + C QUESTION 8 The above is an "implicit solution", Le., it gives y as an implicit function of O True False QUESTION 9 Using the results above. find the solution to the following initial value problem dy/dx-2\\(2x y). y(0)-0 0 erylex( 2 x ) 12- 1/2 exyl-ey2x ) 12 + 1/2 0 exyley2x ) 12 + 1 0 eyley2x) 12 - 1 QUESTION 10 Find the particular solution of the initial value problem dy/dx x 2- 6x, y(0)-3 O yx43/3 - 3x42 43 O y x43/3 + 3x4243 Oy- -x43 /3 + 3x 2 -3 QUESTION 11 Find the particular solution of the initial value problem dy/dx -ke {x)." y(0)-1 O y xer(x )-(x) + 2