NateMAT325pres (1).ppt

# NateMAT325pres (1).ppt

This preview shows pages 1–10. Sign up to view the full content.

Special Second Order  Differential Equations Eric, Robert, Nathan

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Special Second Order  Differential Equations Two categories: 1) Equations with the Dependent  Variable  Missing;  y’’=f(t,y’) 2) Equations with the Independent  Variable  Missing; y”=f(y,y’)
1) Equations with the  Dependent Variable Missing Of the form y’’=f(t,y’) One can make substitutions to yield  a first order differential equation (1)Substitutions being: v=y’ v’=y’’ (2)Post substituting yields a DE of  the form: v’=f(t,v)

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Equations with the Dependent  Variable Missing (cont’) (3)If the prior equation can be solved  for v then y may be obtained by  integrating dy/dt=v (4)Note the 2 constants of integration  obtained when solving the first order  DE, c1, then another in the  integrations of y, c2. This will become more clear with  Robert’s example.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern