Can anybody gives the idea why degree of a differential equation is important?. Every differential equation book writes the definition of "degree of a differential equation". But, why do we care about this definition? What we will get just by remembering definition of degree of a differential equation ?
2026-04-13 01:38:18.1776044298
Significance of the DEGREE of Differential equation
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Mathematicians love to classify things. The degree is one criterium to classify differential equations. Another one is for instance linear/non-linear.
Different methods of solution are appropriate for equations of different degree. And you have general results like: the general solution of an differential equation of degree $n$ depends on $n$ constants.