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Question: highest linear and non-llinear terms

Question:highest linear and non-llinear terms

John2020 220 Maple
nonlinear differential-equations
March 26 2022
0

Hi,

I want to extract the highest linear and non-linear terms in an equation without their coefficients. 

How I can do it?

For example in the following equation, the highest linear and nonlinear without coefficients are diff(u(T),T$3) and u(T)*diff(u(T),T), respectively.

w*a*diff(u(T),T)+a*u(T)*diff(u(T),T)-(b^2)*a*w*diff(u(T),T$3)=0

Thanks in advance.
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