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( D Y D X ) 3 − 4 ( D Y D X ) 2 + 7 Y = Sin X - Mathematics

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Question

\[\left( \frac{dy}{dx} \right)^3 - 4 \left( \frac{dy}{dx} \right)^2 + 7y = \sin x\]
One Line Answer
Sum

Solution

\[\left( \frac{dy}{dx} \right)^3 - 4 \left( \frac{dy}{dx} \right)^2 + 7y = \sin x\]
In this differential equation, the order of the highest order derivative is 1 and its highest power is 3. So, the order of the differential equation is 1 and its degree is 3.
It is a non-linear differential equation, as its degree is 3, which is greater than 1.
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Notes

The answer given in the book has some error. The solution here is created according to the question given in the book.

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Chapter 22: Differential Equations - Exercise 22.01 [Page 5]

APPEARS IN

RD Sharma Mathematics [English] Class 12
Chapter 22 Differential Equations
Exercise 22.01 | Q 26 | Page 5

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