User:Egm6321.f12.team4.lu/Homework2 R2.3&R2.3

Statement
Verify that (2.2.1) is indeed the solution for (2.2.2)

Solution
From (2.2.1), we can derive

Substituting $$\displaystyle p' $$ from (2.2.3) in the left hand side (LHS) of (2.2.2), and we can get

Hence, it is verified.

End of proof.

Author and References

 * Solved and Typed by -- Jinchao Lu

Statement
Show that (2.3.1) is linear in $$ y' $$, and that (2.3.1) is in general an N1-ODE. But (2.3.1) is not the most general N1-ODE as represented by (2.3.2). Give an example of a more general N1-ODE.