Solve the given initial value problem. 3 4 6 x'(t)= x(t), x(0)= 4 3 4 x(t)=

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.