Question 6 If m and n, respectively, are the order and the degree of the differential equation π/ππ₯ [(ππ¦/ππ₯)]^4=0, then m + n = (a) 1 (b) 2 (c) 3 (d) 4 We are given the equation
π/ππ₯ [(ππ¦/ππ₯)]^4=0
π /π π (π^β² )^π=π
This is not solved, letβs solve it
(π(π¦^β² )^4)/ππ₯ =0
4(y^β² )^3 Γ π(π¦^β² )/ππ₯ =0
π(π²^β² )^π Γ π^β²β² =π
Now,
Order = Highest order of derivative
m = 2
And,
Degree = Power of π¦^β²β²
n = 1
Thus,
m + n = 2 + 1
= 3
So, the correct answer is (c)

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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