met •Solve the following initial value problem over the interval [0,2] using Note that the analytical solution is y(x) = ex³/3-1.2x (a) h=0.5, (b) h=0.25. dy dx = yx²-1.2y y(0)=1

If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per second. What is the terminal velocity, and how long does it take the filter to reach 99 of terminal velocity? Use a table increment of 0.1 and given your answer to the nearest tenth of a second.

YOUR TURN Solve the initial value problem dydx+2xyxex2=0 with y(0)=3.