Please solve the following equation by using the frobenius
method.
xy′′ − (3 + x)y ′ + 2y = 0
My apologies, the original image did not upload properly.
The only solution to the equation x^2 − xy + y^2 = 0 is the
origin. Prove that statement is
true by converting to polar coordinates. To be clear, you need to
show two things:
a. The origin is a solution to the equation (easy).
b. There is no other point which is a solution to the equation (not
easy).