Result of solveODE command
Hi, I tried to solve the differential xy'+2y=3x+2.
SolveODE gives me a solution of y=-1/2xy'+3/2x+1 while by hand I arrive at y=C/(x^2)+1+x and symbolab does, too.
I am only just starting to learn differentials, and I cannot seem to simplify this CAS answer by hand because the y' is nested inside the answer. I also see that there is no C constant in the answer?
It also gives for a point (2,4) an answer of y=3/2x+1 while I calculate y=x+1+4/x^2
Is there a command or something that could help me come to the correct solution? Have I done something wrong with the input?