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## Homework Statement

1)An object released from a height h meters above the gorund with a veritcal velocity of Vo m/s htis teh ground after To seconds. Neglecting fricitonal forces set up and solve the inital value problem governing the motion and use your solution to show that....

Vo=(2h-gto^2)/(2To)

2) Determine a solution to the differential equation

(1-x^2)y'' - xy' +4y = 0

of the form Y(x) = a0 + a1x + a2x^2 satisfying the normalization condition y(1) = 1

3) Determine the differntial equaiton giving the slope of teh tangent line at teh point (x,y) for the given curve

x^2 + y^2 = 2cx

## The Attempt at a Solution

1)on that one i got till the point where i have

1/2gt^2 + C1t+ c2 = y(t)

2) On this one i have no idea how to start maybe help on where to start will be enough....

3) on this one i also have no idea where to start...

im still working on other ones ill see if im able to work them out

any help is appreciated

thanks