Thread: degree of differential equation

what can be degree of differential equation
my working
if I expand where then degree seems to be not defined as goes up to infinity but if i take ln(natural log)on both sides then degree seems to be 1
as we get where is the problem ? is modification changed the equation in other form[/quote]

Yes, that is a first order differential equation.

Even in the first form, [itex]e^{dy/dx}= 2[/itex] there is only a first order derivative.

Even if you expand in a power series:

You have only the first derivative! The powers of that first derivative give the degree not the order- it is still first order.

Originally Posted by HallsofIvy

Yes, that is a first order differential equation.

Even in the first form, [itex]e^{dy/dx}= 2[/itex] there is only a first order derivative.

Even if you expand in a power series:

You have only the first derivative! The powers of that first derivative give the degree not the order- it is still first order.

sir I am taking about degree according to our book degree and order are two different terminology.sir see this General Terms of Ordinary Differential Equations

ir i am confused in order and degree as given in link above .please clear my doubt