The tricky DEGREE

Calculus Level 2

Find the degree of the following differential equation:

a + x d y d x + x = 0 \sqrt{a+x}\frac{dy}{dx}+x=0

-1/2 1 1/2 2

Pramod Beniwal by Pramod Beniwal , 25, India

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1 solution

Pramod Beniwal
Apr 7, 2014

Degree of a differential equation is defined if it is a polynomial equation in its derivatives. So no need of squaring both sides (as most of us would do) and simply the degree is 1.

4 Helpful 0 Interesting 0 Brilliant 0 Confused

A clearer explanation is:

The order of a differential equation is the order of the highest order derivative present in the equation. In this case, it is 1 since the higher order is the term d y d x \frac{ dy}{dx} .

The degree of a differential equation is the power of the highest order derivative in the equation. In this case, it is 1.

Calvin Lin Staff - 6 years, 9 months ago

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