Why is equation (1) not a polynomial equation and equation (2) not a polynomial in y?
(1) dy/dx + sin(dy/dx) = 0
(2) (dy/dx)² +(dy/dx) - sin²y = 0

Question

Why is equation (1) not a polynomial equation and equation (2) not a polynomial in y? (1) dy/dx + sin(dy/dx) = 0 (2) (dy/dx) 2 +(dy/dx) - sin 2 y = 0

Yugabrat Gogoi · Answer

As sin is present...

Shibashis Mallik · Answer

@Yugabrat sinx=0 is also a equation..

Nib Das · Answer

Being a equation and a polynomial equation is very different. Functions like sinx, lnx, e x are not considered polynomial quations. They are transcental functions.

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Why is equation (1) not a polynomial equation and equation (2) not a polynomial in y? (1) dy/dx + sin(dy/dx) = 0 (2) (dy/dx) 2 +(dy/dx) - sin 2 y = 0

Why is equation (1) not a polynomial equation and equation (2) not a polynomial in y?
(1) dy/dx + sin(dy/dx) = 0
(2) (dy/dx)² +(dy/dx) - sin²y = 0

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Why is equation (1) not a polynomial equation and equation (2) not a polynomial in y? (1) dy/dx + sin(dy/dx) = 0 (2) (dy/dx) 2 +(dy/dx) - sin 2 y = 0

Why is equation (1) not a polynomial equation and equation (2) not a polynomial in y?(1) dy/dx + sin(dy/dx) = 0 (2) (dy/dx)2 +(dy/dx) - sin2y = 0

3 Answers

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Why is equation (1) not a polynomial equation and equation (2) not a polynomial in y?
(1) dy/dx + sin(dy/dx) = 0
(2) (dy/dx)² +(dy/dx) - sin²y = 0