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Y = x is a particular solution of the differential equation dddydxd2ydx2-x2dydx+xy = x. - Mathematics

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Question

y = x is a particular solution of the differential equation `("d"^2y)/("d"x^2) - x^2 "dy"/"dx" + xy` = x.

Options

  • True

  • False

MCQ
True or False

Solution

This statement is False.

Explanation:

Because y = x does not satisfy the given differential equation.

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Chapter 9: Differential Equations - Solved Examples [Page 192]

APPEARS IN

NCERT Exemplar Mathematics [English] Class 12
Chapter 9 Differential Equations
Solved Examples | Q 23. (x) | Page 192

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