Class 12 Mathematics - Chapter Differential Equations NCERT Solutions | Determine order and degree(if defined) o

Welcome to the NCERT Solutions for Class 12th Mathematics - Chapter Differential Equations. This page offers a step-by-step solution to the specific question from Exercise 1, Question 9: determine order and degree if defined of differen....
Question 9

Determine order and degree(if defined) of differential equation yn + (y')2 + 2y =0

Answer

yn + (y')2 + 2y =0

The highest order derivative present in the differential equation is yn. Therefore, its order is two.

The given differential equation is a polynomial equation in yand y' and the highest power raised to yis one.

Hence, its degree is one.

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