yes...i was just wondering for the radius of curvature, why is it the sercond derivative? i can compute the curvature but i walsy wondered why the second derivatie, after all, i believe a book said the first was acceptable..
how do you calculate the radius of curvature and the center p(h,k) of the circle with respect to the curve and how do you do improper integrals? kinda forgot improper integrals.
o..by the way..here are some things that i wish to know
wha are the recurrence formulass for the folowwing
1) (x^2 +4) y''+xy=x+2
2) y''+y=0
8x^2 y''+10xy'+(X-1)y=0
yeah..thnaks but why are there two types of reserection and when do i use them? like sigma n=0 anX^n and other one with the & lambda ; x^ sigma anX^n...when do i use which ones and how? and how do i plug in answers in the differential equation/ like 8x^2y''+10xy'+(x-1)y=0
x^ &lambda ; {8...
not really but how do you find recurrence formulas? they're very complicated and i can't understand it...like the recurrence for (x^2+4)y''+xy=x+2
i thought you find the seond derivative and and first and the original
a0 )a1x+a2x^2+a3x^3+a4x^4...+anx^n+an+1+an+2x^n+2+...
how would you solve
y''-xy'+2y=0?
it says, {2a2+6a3x+12a4x^2+...n(n-1_anx^n-1
ahh i don't know..how would you solve this? can someone explain? my math teacher is un willing to help me...
why is
the sine series for f(x) = { 0 x<2 on 0,3
2 x>2
L=3
cn=2/3 int b=3 and a =0 f(x) sin( nxpi/ L)dx
= 2/3 int. b=2 a=0 (0) sin( pi n x/ 3) dx + 2/3 int b=3 a =2 (2) sin n x pi/3 dx
= 0 + 4/3{-3n pi cos n pi x/3} x=3 and x=2 =...
i think general math section? but yeah, that gu7y is right, in calculus they use "e" and ln or natural log more often, however, the derivative of log is seen quite often...