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Please solve RD Sharma Class 12 Chapter 21 Differential Equation Exercise Multiple Choice Question Question 5 maths textbook solution.

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Answer :(c)\; 3

Hint :  Degree is the power of highest order derivative when the differential equation is free from radicals

Given : \left[5+\left(\frac{d y}{d x}\right)^{2}\right]^{\frac{5}{3}}=x^{5}\left(\frac{d^{2} y}{d x^{2}}\right)

Explanation  :  \left\{\left[5+\left(\frac{d y}{d x}\right)^{2}\right]^{\frac{5}{3}}\right\}^{3}=\left[x^{5}\left(\frac{d^{2} y}{d x^{2}}\right)\right]^{3}                      [Taking cube on both sides]

\left[5+\left(\frac{d y}{d x}\right)^{2}\right]^{5}=\left(x^{5}\right)^{3}\left(\frac{d^{2} y}{d x^{2}}\right)^{3}

The power of \frac{d^{2} y}{d x^{2}} \text { is } 3

Hence, degree is 3

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