The following problems are given to assess your ability to solve for PEVALUATE the solutions of differential equations Instructions: Solve for what is asked in each problem. Refer to the format and guidelines presented in the Assignment Guide. State whether the equation is ordinary or partial, linear or nonlinear and determine its order and degree. 1 . d' x dt2 + k- x =0 (d3 w dw 4 2. dx3 2 dx + yw = 0 3. y"" - 3y' + 2y = 0 4. azu + dy2 + = 0 az2 5. Verify that y = "+ Cax + Caxlux + 4x2 is a solution of x3y" + 2x?y" - xy' ty = 12x2 6. Verify that y = 7 sin 2x + 9 cos 2x is a solution of y" + 4y = 0 7. Verify that y = x2 - 1 is a solution of (y')+ + y? = -1. 8. Find the General and Particular solution of - = 8 sin 4x ; y = 6 when x = 0 9. Find the General and Particular solution of