Diff Eq: Variation of Parameters for 3rd-ODE's

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UziStuNNa
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Homework Statement



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Well I'm not sure how to start it off.
 
UziStuNNa said:
Well I'm not sure how to start it off.

Then you need to tell us what is confusing you.
 
[tex]W_1(t)[/tex]= [tex]g(t)(y_2(t)y_3'(t)-y_3(t)y_2'(t))[/tex]
[tex]W_2(t)[/tex]=[tex]-g(t)(y_1y_3'-y_3y_1')[/tex]
[tex]W_3(t)[/tex]=[tex]g(t)(y_1y_2'-y_2y_1')[/tex]

Then, [tex]u_1(t)=\int(W_1/W)[/tex] and so forth for [tex]u_2[\tex] and [tex]u_3[/tex][/tex]