I am studying for my final and this is one of the problems in out trial final, ive gone through it about 5-6 times and i can not for the life of me get it right.
the pic and question is attached
What i have is
I solve the second equation for x
x=(dy/dt)(100/3)+(y/2) and that gives me x' as
then i plug back into the equation and collect like terms and i get
which simplifies to
Then i find my two solutions for
and this is were it all goes wrong...
Please help! Thank you