why is dy/dx + sin(dy/dx)=0 not a polnomial function and why its degree is undefined?

Asked by sanjanadhankani | 10th Nov, 2010, 08:27: PM

Expert Answer:

Dear student
By definition a polynomial function is a functrion of form f(x) = ao+a1x+a2x2+...+anxn
where ais are constants and n is non negative integer.
Now this equation is a differential equation consisting of differential coefficient dy/dx so this not a polynomial function
dy/dx + sin(dy/dx)=0
Hope it clarifies your doubt
Team Topper

Answered by  | 11th Nov, 2010, 10:49: AM

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