Thank you guys for helping me clarify what I've been doing wrong.
The series needs to be expanded around xo=1 so it becomes (x-1) from (x-xo).
I've tried doing the work over again and this is what i obtained:
y=sum (n=0 to infinity) an (x-1)^n
y= ao+a1(x-1)+a2(x-1)^2+a3(x-1)^3...an(x-1)^n...
Homework Statement
2xy" + y' + xy =0 xo=0
find the indicial equation, recurrence relation and series solution.
Homework Equations
The Attempt at a Solution
I've done most of the work but i don't know how to use a recurrence relation to obtain a y1 and y2 series solution...
Homework Statement
Find the recurrence relation and the general term for the solution:
y'' - xy' - y = 0 xo=1
Homework Equations
y= sum (n=0 to infinity) an (x-1)^n
The Attempt at a Solution
i get:
y= sum (n=0 to infinity) an x^n
y'= sum (n=0 to infinity) (n+1)an+1...
Homework Statement
y" + 2y' + 10y=0
y(0)=1
y'(0)= -1
solve initial value problem
Homework Equations
e^( ~ + iu)t= e^ ~t (cos ut + i sin ut)
The Attempt at a Solution
i've gotten pretty far into the problem, but i just can't seem to get the correct final answer.
I changed y" +...
Homework Statement
home run hit and baseball just clears the top of the bleachers.
@= 35 degrees
bleacher height = 21 meters
distance from bleachers to home plate = 130 meters
neglect air resistance
find initial velocity and time of flight
Homework Equations
x comp:
x= vcos@ t +...
sure:
int int squareroot [(hx/rsquareroot(x^2+y^2))^2 + (hy/rsquareroot(x^2+y^2))^2 + 1] da
int int squareroot [(h^2*x^2/r^2 (x^2+y^2)) + (h^2*y^2/r^2(x^2+y^2)) + 1] da
int int squareroot [(h^2/r^2) x^2/(x^2+y^2) + y^2/(x^2+y^2) +1] da
the +1 should change into: (x^2+y^2)/(x^2+y^2)
int int...
Homework Statement
The question is to derive the surface area of a cone.
Homework Equations
slant= square root ( r^2 + h^2)
surface area= int int [square root(fx^2 + fy^2 +1) da]
surface area of cone side= pi *r(r^2+h^2)
3d cone formula: z= h/r(squareroot x^2+y^2)
The Attempt at...
Homework Statement
Obeying hooke's law. A hot air balloon is 65.0m from the ground. The bungee jumper wants to jump with a uniform elastic cord up to 10m above the ground. During a preliminary test, the cord at rest was 5.0m and when he got on it stretched 1.50m. a) What length of cord should...