Use the substitution u e2x3y5 to solve 3 dydx 42e2xe2x3y52

Use the substitution u= e^2x-3y+5 to solve 3 dy/dx = [4+2e^2x-(e^2x-3y+5)^2]. A parachutist with a total weight of 160 lbs falls from rest toward the earth. After 5 seconds the chute immediately opens and the chutist\'s GPS registered a velocity of 126 ft/sec. The chute leads to a drag resistance (in units of Ib-ft/sec^2 that is equal to 5/8V^2(t), where V(t) is the velocity of the parachutist at any time. Find the velocity of the parachutist at any time t.

Solution

you can find velocity by

this mehod

you can also solve it for

displacement vertically

your mehod iscorrect

and you hav solved correctly