Verify that y1(t) = 1 and y2(t) = t1/2 are solutions of the differential equation yy + ( y)2 = 0 for t > 0. Then show that y = c1 + c2t1/2 is not, in general, a solution of this equation. Explain why this result does not contradict Theorem 3.2.2.

Acar started driving from city a to city b, distance between which is 620 miles, at a rate of 60 mph. two hours later a truck left city b and started moving towards city a at a rate of 40 mph. how many hours after the truck's departure will the two meet?