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Please solve RD Sharma Class 12 Chapter 21 Differential Equation Exercise Multiple Choice Question Question 26 maths textbook solution.

Answers (1)

Answer: (b) m=3, n=2

Hint: Use definition of order and degree of differential equation.

Given: \left(y_{2}\right)^{5}+\frac{4\left(y_{2}\right)^{3}}{y_{3}}+y_{3}=x^{2}-1

Explanation : y_{3}\left(y_{2}\right)^{5}+4\left(y_{2}\right)^{3}+y_{3}^{2}=y_{3}\left(x^{2}-1\right)

The highest order derivative appears in differential equation is y_{3} and its power is 2

Therefore,

Order =3=m

Degree =2=n

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