1. A) Find the solution of the initial value problem (IVP) (1+ y²+x² + x2 y2) dy/dx = y²; y(0) = 2, give an interval for t in which the solution is defined. B) A body of mass 0.5kg is dropped form a height of 100m with zero velocity. Assume the air resistance is directly proportional to the velocity find an expression for the required time to reach the ground.

Q: 6) During each cycle, the velocity v (in mm/s) of a piston is v = 6t - 6t², where t is the time (in…

A: Number (6)Recall that the displacement of an object can be expressed as follows:s=∫t1​t2​​v(t)dtWe…

Q: A ball is thrown upward. Its height hin feet is given by h(t) = 104t - 16t², where t is the time…

A: Given height:- ht=104t-16t2

Q: Write down the equation of motion for the point particle of mass m moving in the Kepler potential…

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: 5. I hold a pencil 1 mm from my right eye, and slowly move it away. Its distance from my eye after t…

A:

Q: A ball with mass 1.5 kg is thrown upward with initial velocity 2 m/s from the roof of building 15 m…

A: The mass of the ball is :m=1.5 kg Initial velocity is :The initial height of the ball is :Consider…

Q: Page 6 of 7 7. [4] The total accumulated costs C(t) and revenues R(t) (in thousands of dollars),…

A:

Q: A force of 660 newtons stretches a spring 3 meters. A mass of 55 kilograms is attached to the end of…

A:

Q: Find the constant values of m and n if 2y = 2nx² + 2mx given that when x = 1, y _0 and = 14. dx

A: