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Padma Bhushan Borah Grade: 12
        Plz specify the degree & order of the following eq with reasons (keeping in mind that sinx,cosx etc. can be expanded polynomially -> a)d^2y/dx^2+sin(dy/dx)=0           b)d2y/dx2+sin(d3y/dx3)=0          c)(d2y/dx2)^3 + sin(dy/dx)= 0     d)d2y/dx2+sin{(d3y/dx3)^4}=0

what will be the ans if there is other transcendental Fn in place of sin?
Plz say me urgently.
7 years ago

Answers : (1)

Chetan Mandayam Nayakar
312 Points
										

 


Dear Borah, 


a)d2y/dx2+sin(dy/dx)=0, based on definitions of order and degree, order=2,degree=1


b)d2y/dx2 +sin(d3y/dx3)=0, d3y/dx3+arcsin(d2y/dx2)=0,order=3 and degree=1


c)order=2 and degree=3


d)(d3y/dx3)4 +arcsin(d2y/dx2)=0, order=3 and degree=4


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Chetan Mandayam Nayakar – IIT Madras  

7 years ago
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