Differential Calculus

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.

The topic is chemical reaction rate.

Two substances A and B are combined to form a product C. The formation of product is proportional to the time the reactants are combined. The final product is composed of three parts of A for every part of B. If initially A is 50 lbs and B is 60 lbs, and 10 lbs of the product is formed after 45 mins., find the time it takes for the reaction to form 25 lbs.

The answer is 135 minutes. Show complete solution please. Thank you.

1. y(x^2+xy-2y^2)dx+x(3y^2-xy-x^2)dy=0
2. (x+ysin y/x)dx-xsin y/x dy=0