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MTH256{Sec4.1SampleProblems

relationamongthem. f

1(t)=2t3;f2(t)=2t2+1;f3(t)=3t2+t:

Sol.TheWronskianis

W(f1;f2;f3)=

2t32t2+13t2+t

24t6t+1

046
=4

2t33t2+t

26t+1
+6

2t32t2+1

24t
=4(12t216t3)(6t2+2t)+6(8t212t)(4t2+2) =24t2+72t+12+24t272t12 =0 following f

1=af2+bf3

2t3=2at2+a+3bt2+bt:

andbtosatisfytheaboveequation. xy

000y00=0;t>0;1;x;x3:

Sol.TheWronskianis

W(y1;y2;y3)=

1xx3 013x2 006x =6x 1x 01 =6x: 1quotesdbs_dbs17.pdfusesText_23