# Finding the Wronskin confusion! weee! DiffEQ

1. Feb 18, 2006

### mr_coffee

Hello everyone, I got part's A and B of this problem, but now they are asking me to find the wornskin of W(y1,y2) and i'm confused on what they want, i understand that y1y2' - y1'y2, if that equals 0 then its L.D. if its != 0, then its L.I. Here are the directions:

Find the function y_1 of t which is the solution of
100y'' + 120y' + 27y = 0
with initial conditions y_1(0) = 1, y_1'(0) = 0 .
y_1 = http://cwcsrv11.cwc.psu.edu/webwork2_files/tmp/equations/40/88fc47fa3bd23be02e062229fe21811.png [Broken]

Find the function y_2 of t which is the solution of
100y'' + 120y' + 27y = 0

with initial conditions y_2(0) = 0, y_2'(0) = 1 .
y_2 =http://cwcsrv11.cwc.psu.edu/webwork2_files/tmp/equations/2f/37d355db301374c3ea8042d569295d1.png [Broken]

Find the Wronskian
W(t) = W(y_1,y_2).

W(t) =

This is what I did but now i'm stuck on what i'm suppose to do next:
http://img135.imageshack.us/img135/6165/lastscan2ba.jpg [Broken]

Last edited by a moderator: May 2, 2017