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If P and Q Are the Order and Degree of the Differential Equation Y D Y D X + X 3 D 2 Y D X 2 + X Y = Cos X, Then - Mathematics

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Question

If p and q are the order and degree of the differential equation \[y\frac{dy}{dx} + x^3 \frac{d^2 y}{d x^2} + xy\] = cos x, then

Options

  • p < q

  • p = q

  • p > q

  • none of these

MCQ
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Solution

p > q

 

We have,

\[y\frac{dy}{dx} + x^3 \frac{d^2 y}{d x^2} + xy = \cos x\]

\[\text{ The highest order derivative is }\frac{d^2 y}{d^2 x}\text{ and it's degree is 1}\]

So, the order is 2 and the degree is 1.

\[ \therefore p = 2\text{ and }q = 1\]

\[\text{ Clearly, }p > q\]

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Chapter 22: Differential Equations - MCQ [Page 142]

APPEARS IN

RD Sharma Mathematics [English] Class 12
Chapter 22 Differential Equations
MCQ | Q 37 | Page 142

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