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Deepak Patra posted an Question
July 28, 2021 • 01:41 am
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30 points
30 points
- IIT JAM
- Mathematics (MA)
Q.2 let p: r>r be a continuous function such that p(r) > 0 for all z e r. let y be a twice differentiable function on r satisfying "(r) + p(r)y"'(r) - y(r) = 0
Q.2 Let P: R>R be a continuous function such that P(r) > 0 for all z E R. Let y be a twice differentiable function on R satisfying "(r) + P(r)y"'(r) - y(r) = 0 for all r E R. Suppose that there exist two real numbers a, b (a < b) such that y(a) = y(6) = 0. Then (A) u(r) = 0 for all z E [a. b] C)yr)< 0 for all r E (a, b). (B) y(r) > 0 for all E (a, b). (D) u(r) changes sign on (a, b).
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