{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Lecture15

# Lecture15 - Announcements* today* Thisweek Topics...

This preview shows pages 1–7. Sign up to view the full content.

Announcements ** Test 1 will be available for pick up in the Math Help Centre today ** Test 2 this Thursday – See webpage for details This week: Topics: ‐ Separable DEs ‐ Linear DEs ‐ Predator/Prey Model Work On: ‐ Finish Assignment 5 ‐ Finish PracMce Problems Set 5 and Set 6

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

View Full Document
Separable EquaMons A separable equa+on is a first‐order differenMal equaMon in which the expression for dy/dx can be factored (or “separated”) as a funcMon of x Mmes a funcMon of y. In other words, it can be wriZen in the form dy dx = g ( x ) f ( y )
Separable EquaMons It is possible to find an algebraic soluMon (formula for y(x)) for these types of DEs. To solve this equaMon, first rewrite it in the differen+al form so that all y’s are on one side of the equaMon and all x’s are on the other side. h ( y ) dy = g ( x ) dx where h ( y ) = 1 f ( y )

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

View Full Document
Separable EquaMons Next, integrate both sides of the equa+on

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