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Question: semi-numerical method versus exact solution

Question:semi-numerical method versus exact solution

Zeineb 530 Maple 17
ode dsolve nonlinear exact differential-equations plotting
November 30 2021
1

Dear all

I compute the solution of first order nonlinear ode, supplied to initial condition.

The code is written, the exact solution is derived.

 plot the solution in a small interval like (0,1/5) I see that there is no difference between exact and semi-analytical soluton.

But, If I plot the solution in other interval like (0,1) or (0,2), It is noticed that the semi-analytical solution is different to the exact solution. 
Thansk you in advance for your help 

test3.mw
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