degree of the differential equation -2

Calculus Level 4

What is the degree of the differential equation d 2 y d x 2 = x . l n ( d y d x ) \dfrac{d^2y}{dx^2}=x.ln\left(\dfrac{dy}{dx}\right)

Note : l n ( a ) = l o g e ( a ) ln\left(a\right)=log_e\left(a\right)

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N o t d e f i n e d Not \ \ defined 2 1 0

Sandeep Bhardwaj by Sandeep Bhardwaj , 28, India

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1 solution

Kunal Gupta
Dec 1, 2014

Clearly, degree is defined for those differential Equations where the expression can be reduced to polynomial terms. Here y''=xln(y') can't be reduced .Hence it's degree isn't defined.

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