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Consider differential equation (x^(2)+1)...

Consider differential equation `(x^(2)+1).(d^(2)y)/(dx^(2))=2x.(dy)/(dx)`
Statement I For many member of this family `ytooo` as `xtooo.`
Statement II Any solution of this differential equation is a polynomial of odd paralled to y-axis with and latusrectum is fixed is 2.

A

Statement I is true ,and Statement II is true and statement II is the correct explanation for Statement I.

B

Statement I is true, Statement II is true and Statement II is not the correct explanation for Statment I

C

Statement I is true, Statement II is false.

D

Statement I is false, Statement II is true.

Text Solution

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The correct Answer is:
a
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