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Question: How determine the ode type ? my answer and real anser are so different?

Question:How determine the ode type ? my answer and real anser are so different?

Arya-S-AA 160 Maple 2024
ode differential-equations duplicate-account
April 08 2025
1

my answer is so different but  and i want remove this lambert in my test? can we do something for giving question exactly solve the question by model i have a book of ode which a lot of time i do some trail but have a problem? how i can remove this issue specially for bernoli and  other type?

> 

restart
> 

with(DEtools, odeadvisor)
> 

ode := diff(y(x), x)+x/y(x)+2 = 0

diff(y(x), x)+x/y(x)+2 = 0

 (1)
> 

Student:-ODEs:-Type(ode)

{}

 (2)
> 

odeadvisor(ode)

[[_homogeneous, `class A`], _rational, [_Abel, `2nd type`, `class A`]]

 (3)
> 

Student:-ODEs:-Type(ode); W := dsolve(ode); odetest(W, ode)

{}

  

y(x) = -x*(LambertW(-c__1*x)+1)/LambertW(-c__1*x)

  

0

 (4)

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