Maybe you should solve the differential equation at the beginning??
ok so im supposed to determine a region in the xy plane that would have a unique solution whose graph passes through a point in the region. (x+3y)y' = 2x - y
im not sure where to start this problem. am i supposed to find a point that satisfies the equation? any help would be appreciated.
thanks
Consider the domain:
and
We have:
\rightarrow{\mathbb{R}}" alt="(i)\quad f\rightarrow{\mathbb{R}}" /> is continuous.
Now, use a well known existence and uniqueness theorem.
Fernando Revilla