please help with these problems, any of them! it would be of great help! thanks!

1. suppose that A is a constant. Verify that x(t)=1+t+Ae^t is a solution of the differential equation x'=x-t

2. Suppose that A and B are constants. Verify that y(x)=A ln(x)+B+x is a solution of the differential equation xy''+y'=1