Consider the bvp
y''+(lamda)y=0 y'(0)=0, y'(pi/6)=0
a)assume lamda=0 and find the solution
b)assume lamda> 0 and find the solution
c)assume lamda< 0 and find the solution
d) determine the eigenvalues and associated eigenfunctions corresponding the eigenvalues.

has the corresponding characteristic equation (CE)

a. If , then the CE has one root, , and so the general solution to the ODE is

Given that , and

it follows that , and so

b. If , then the CE has two complex roots, , and the general solution is

With the given boundary values, we have

where .

and the solution would be

so that we still get

c. If , then the CE has two real roots, , so that the general solution is

From the boundary conditions we get

from which it follows that , so again the solution is

d. We only get eigenvalues in the case when , as in part (b):

for which we get the corresponding eigenfunctions

median is the value separating the higher half of a data sample, a population or probablity distribution from the lower half.

step-by-step explanation:

say you have 3,8,7,3,1,9,8 order them from lowest to highest

if orderd it would be 1,3,3,7,8,8,9 now you take away from the lowest and the highest until you end up in the middle.

so you would remove the 1 and 9 leaving you with 5 digits remaining

when you've reached the middle that would be your answer so in this case the answer is 7

if there were two numbers left say 7 and 5 you'd and them together so 12 then divide by 2 witch would equal 6 so the answer would be 6

good luck on that project hoped i you at all

the formula of a slope:

we have the points (-2, 7) and (2, 3). substitute: