Consider the initial value problem: y' = cos 2лt, y (0) = 1 Use Euler's method with five steps to approximate y(8). Round your answers for y, to two decimal places. n 0 tn 0 Уп 1 i 1 i 2 3 i 4 ¡ i 5

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

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.