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Provide solution for  RD Sharma maths Class 12 Chapter 21 Differential Equation Exercise Multiple choice Question Question 41 textbook solution.

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Answer : (d) not defined

Hint : The degree of differential equation is the power of its highest derivative, when the equation is integral free of all its derivative.

Given : \left(\frac{d^{2} y}{d x^{2}}\right)^{3}+\left(\frac{d y}{d x}\right)^{2}+\sin \left(\frac{d y}{d x}\right)=1

Explanation :  The degree of differential equation is the power of its highest derivative, when the equation is integral free of all its derivative

And in the given equation \sin \left(\frac{d y}{d x}\right) appears. So, the given equation is not integral here.

Therefore degree doesn’t exist.

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