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Question: How to determine the order of an ODE?

Question:How to determine the order of an ODE?

EskiMO 64 Maple
ode order difforder
November 29 2007
0
Although this question might seem silly to Maple experts, I cannot help asking, since despite a long search through Maple Help and Maple Guides I was not able to come across the answer. What I mean is this: > eq1 := diff(y(t),t)-y(t)^2+y(t)*sin(t)-cos(t) = 0; > # here I want some command that would return the order of eq1, i.e. 1 > something(eq1); > eq2 := diff(y(t),`$`(t,2)) = y(t)*u(t) + diff(u(t),t); > something(eq2,y); # this should return 2 > something(eq2,u); # this should return 1 Besides, I would also need the same for recurrent (shift) equations, i.e. > eq3 := y(t+2) = u(t)+y(t)*u(t+1); > something2(eq3,y); # this should return 2 > something2(eq3,u); # this should return 1 What are the proper names for "something" and "something2" in Maple? Thanks in advance!
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