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Dristi Vashishtha posted an Question
January 10, 2022 • 00:01 am
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30 points
30 points
- IIT JAM
- Mathematics (MA)
Let f g:-1, 1]> r, fx)=x, gr) = x|x| then fand g are linearly independent on [-1, 1} fand g are linearly dependent on [-1, 1] ac) f) g(x)-f) gtr) is not identic
Let f g:-1, 1]> R, fx)=x, gr) = x|x| Then fand g are linearly independent on [-1, 1} fand g are linearly dependent on [-1, 1] Ac) f) g(x)-f) gtr) is NOT Identically zero on [-1, 1] There exist continuous function p(x) and q(x) such that fandg satisfy +py + qy = 0 on -1, 4
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Anonymous User![best-answer]()
B check attachment
see the 4th solution
yes B is correct according to me too but according to this dips academy book a is correct a is clearly the contradiction to c since the state in c is nothis but the wronskian and we know if two functions are LI the there wronskian is non zero.
mistakes in print answer LD