If solution of differential equation x^{2} \.{d^{2} y}/{d x^{2}}+2 x \. {d y}/{d x}=12 y is y=A x^{m}+B x^{-n} then find maximum value of |{m}+{n}|

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JEE Advanced 2021 Full Test 4 Paper 1

SECTION – C (Numerical Answer Type)
This section contains 06 questions. The answer to each question is a NUMERICAL VALUE. For each question, enter the correct numerical value (in decimal notation, truncated/rounded-off to the second decimal place; e.g. XXXXX.XX).

Question : 50

Total: 54

If solution of differential equation x2.

d2y

dx2

+2x.

=12y is y=Axm+Bx−n then find maximum value of |m+n|

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