Solve the initial value problem d= (x-7)(y — 9), y(0) = 6. - y =

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

Does the equation y=2.294e0.654t representcontinuous growth, continuous decay, or neither?Explain.

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.