Answer:
a. The curve
passes through the point (0, 6)
b. No solution of the curve
passes through the point (0, 1)
Step-by-step explanation:
Consider the family of the solution of DE
is 
a. If any solution passes through the point (0, 6), then there is
such that the point (0, 6) satisfies the solution 
Substitute
in
and then solve the equation to obtain 

Therefore, the curve
passes through the point (0, 6)
b. If any solution passes through the point(0, 1), then there is
such that the point (0, 1) satisfies the solution 

this is not possible
Hence, there is no curve
that exists which passes through the point (0, 1)