An airplane takes off on a runway that is 3500 meters long T
     An airplane takes off on a runway that is 3500 meters long. The plane starts off with an initial velocity of 20 meters/sec and moves with constant acceleration for 30 seconds and then lifts off the end of the runway. How fast was the plane traveling (in meters/sec) on lift off? Model and solve using differential equations. Show all differential equations and all work.  Find the general solution (implicit if necessary, explicit if convenient) for the following:  sec x dy / dx = csc y  Verify that the differential equation is exact, then solve it.  (4x - y) dx + (6y - x) dy = 0  Use the integrating factor explained on page 47 to solve the following:  Cy\'-Aebx y = Be-2ax  where a ,b ,A, B, C are constants. Solve the differential equation. 
  
  Solution
dude!! asking multiple questions under one post is against cramster rules, so split up your questions before somebody flags you,,,i aint soing that :)
