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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
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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.

  Is there an error in this question or solution?
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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