Section 1.2 Problems - Integrals as General and
Particular Solutions
For problems 5, 6, 7, and 10, find a function y =
f(x) satisfying the given differential equation and the prescribed initial
condition.
5) 
6) 
7) 
10) 
For problems 11 and 15, find the position function
x(t) of a moving paticle with the given acceleration a(t), initial position 
,
and initial
velocity 
.
11) 
15) 
25) The brakes of a car are applied when it is moving at
100 km/h and provide a constant deceleration of 10 meters per second per second
(m/
). How far does the car travel before
coming to a stop?
Answers from the back of the
book:
5) 
6) 
7) 
11) 
15) 
25) The car stops when 
, so the distance traveled before stopping is
approximately 