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Question: Substitution in Differential equation

Question:Substitution in Differential equation

sakhan 50 Maple 13
July 27 2011
0

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I have to make following substitutions in a ODE:

alpha = x - 2

y(alpha) =  y(x) - 1

 

[Maple code starts]

The ode is 

ODE := diff(y(x), x) = (y(x)+1)/(x+2)-exp((y(x)+1)/(x+2));

 

I have used the following commands:

Rhsa := eval(rhs(ODE), {x = alpha-2, y(x) = y(alpha)-1});
lhsa:=subs({x = alpha, y(x) = y(alpha)}, lhs(ODE));

 

Sub_ODE:=lhsa = Rhsa;

[/Maple code]

Finaly I got the right ODE (as the ode is pretty simple and I have already done that anlaytically.)

The question is:

 

Is there a better way to do that substitution? 
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