degree of the differential equation -5

Calculus Level 3

Find the degree of the differential equation d 2 y d x 2 = c o s ( d y d x ) \dfrac{d^2y}{dx^2}=cos\left( \dfrac{dy}{dx} \right)

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1 1 n o t d e f i n e d not \ defined 2 2 n o n o o f t h e s e nono \ of \ these

Sandeep Bhardwaj by Sandeep Bhardwaj , 28, India

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1 solution

Mahimn Bhatt
Dec 11, 2014

The terms of the differential coefficient must be like polynomial terms, othrwise degree is not defined

3 Helpful 0 Interesting 0 Brilliant 0 Confused

if you taylor expand the c o s cos , toy will get a polynomial form but the derivative in all of its terms is of the first order. the degree is the highest power of the highest derivative , then it will be 1 regardless the power of the first order derivative.

Ahmed El-Ȝshry - 5 years, 10 months ago

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