Find the general solution of the differential equation. (Remember to use In |u| where appropriate. Use C for the constant of integration.) dy/dx = 10x +1/x y = Find the general solution of the differential equation. (Use C for the constant of integration.) dr/dp = 2 sin p r = Find the solution of the initial value problem dy/dx = 6x2 + 8x, y (3) = 15 y = Ice is forming on a pond at a rate given by where y is the thickness of the ice in inches at time t measured in hours since the ice started forming, and k is a positive constant. Find y as a function of t. Assume there is no ice initially. y (t) = An object is shot vertically upward from the ground with an initial velocity of 288 ft/sec. Suppose a particular jet needs to attain a speed of 200 mph to take off. If it can accelerate from 0 to 200 mph in 45 seconds, how long must the runway be? Assume constant acceleration. Note: 1 mph = 22/15 ft/sec. feet.
