Solve the following problems:

Solve the following Differential Equation Order Degree ODE/PDE Linear/Non linear y' - Cos X = 0 xy - z + x(ax ) - y dx y = 0 x(Uxxy)2 + 5(uxy)3 = 0 Uxx = (x4 + y4 )uyy + sin(xy)u y" = yy' - 9 Problem 2 Solve for the general solution of " = > and the particular solution if y(1) = 4 Problem 3 Solve for the general solution of ~ = -2 sin x and the particular solution if y (?) = Problem 4 Solve for the general solution of - y + 1 = 0 and the particular solution if y(0) = 1