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

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प्रश्न

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

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

  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 22: Differential Equations - Exercise 22.01 [पृष्ठ ५]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 12
पाठ 22 Differential Equations
Exercise 22.01 | Q 26 | पृष्ठ ५

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