- #1
danield
- 38
- 0
Well this is my first diff eqs homework and I am totally lost, i have no idea what to do here are teh questions that i have...
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
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 I am able to work them out
any help is appreciated
thanks
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 I am able to work them out
any help is appreciated
thanks