Question: Please solve all the question with step by step explanations 5. If y = etan then show that, (1 + x2 ) yn+2 + (2nx

Please solve all the question with step by step explanations

5. If y = etan" then show that, (1 + x2 ) yn+2 + (2nx + 2x - 1)yn+1 + n(n + 1)yn = 0 by using Leibnitz's Theorem. 6. Verify that hypotheses of Rolle's theorem are satisfied in the given interval. And find all values of c in that interval that satisfy the conclusion of the theorem. TT 3TT f(x) = cos r

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