Plot seven solutions to th equation y'= e" cos(a) on the interval [-2, 2] by adding values for C that go from -3 to 3, as we did above. On this interval, how many of these solutions cross the x-axis? Hint Question Help: Message instructor D Post to forum Submit Question Next Page? Exercise 1.1.3 Find the general solution of y'= 2 , assuming y * 0. y = I Hint Question Help: Message instructor . D Post to forum Submit Question Next Page OExample 1.1.6 Suppose that the car accelerates at a rate of t2 In 2 . At time t = 0 the car is at the 1 meter mark and is traveling at 10 /s. Where is the car at time t = 10? Show solution Solution This is actually a second order problem. If x is the distance traveled, then x is the velocity, and a" is the acceleration. The equation with initial conditions is x"= t2, x(0) = 1, x'(0) = 10 What if we say a = v. Then we have the problem v'= t2, v(0) = 10 Once we solve for v, we can integrate and find x. ? Exercise 1.1.4 Finish the solution for Example 1.1.6. Where is the car at time t = 10? meters Question Help: Message instructor D Post to forum Submit Question Next Page D