- #1
Schmoozer
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Homework Statement
The Cauchy-Euler equation is:
x2y'+axy'+by=0
And has a solution of the form:
y1(x)=xm
Use the method of Variation of Parameters to show that the second independent solution
is:
y2(x)=xmln(x)
So that the overall solution is:
y(x)=[A+Bln(x)]xm
Hint: This equation suggests that the characteristic equation has two identical roots.
Hint: Use the following transformation:
x=et
Homework Equations
None
The Attempt at a Solution
I'm not really sure how to start this. Any help would be very much appreciated.