Differential Calculus

A parachutist is falling with speed 176 ft/s when his parachute opens. If the air resistance is Wv2/225 lb where W is the total weight of the man and the parachute and v is in ft/s, find his speed as a function of time after the parachute opens.

If I use the suvat equations, the given resistance is the value of my what? Or I can't use the suvat equations at all?

If I use Fresultant=Fapplied-Fresistance. I can substitute the given resistance, but what would be the value or formula for getting my Fresulant and Fapplied?

Orthogonal Trajectories
y^3 - 3 = ln |Cx|

Please check if the answer I solved is correct.
My answer: y(3x^2 + c)=2

Find the differential equation of all circles with fixed radius and the centers are on the x-axis.
Please po :'(

Mechanics Problem. I need it tomorr before 7 am. Thank you.

A ball is thrown upward with an initial velocity of 49 m/s. Find the velocity after 3 seconds. Find its maximum height. Compute the time it takes for the ball to return to its original point. Use g= 9.81 m/s^2 .

Can someone give me a link or teach me some ODE (ordinary differential equations) based on real life situations? Thanks!

Please Help...

Find the center, vertices, foci of the ellipse given the equation 16x² +25y² -160x - 200y + 400 = 0.

Please help...

tdx/dx = 6t(e^ 2t) +x(2t-1)

dx-(1+2xtany)dy=0

Please help me to solve that

Please hep me to obtain the general solution

xdy-[y+xy³(1+lnx)]dx=0

An RL circuit has the following values: R=1 kilo ohms, and C= 1microF. If v(0)=10v, find v(1 ms), i(1 ms) and w(1 ms).

Answers respectively: 3.68 V, 3.68 mA and 6.8 microJ.

Please show the complete solution. It'll be a great help. Thank you.