6.For each question below write the complete word "True" or "False", not just "T"

or "F".

For a) and b), write "True" if the following statement is correct, "False" if it isn't:

If y1 and y2 are 2 solutions to the ODE, then -y1 and -y2 must also be solutions

a) y"+2ty'=8

b) y"-9t^(3)y'+9y=0

c)If f(x) is a solution to a 2nd order ODE with interval of definition (-5, 5),

could f(x) be discontinuous at x = 0?

d)If f(x) is a solution to a 1st order ODE with interval of definition (-1,infinity),

could f '(x) be discontinuous at x = 0?