{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

AMath350.F12.A6

# Described above di erential the situationay y1 y0

This preview shows page 1. Sign up to view the full content.

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

Unformatted text preview: t models equations. described above. di erential the situationAy y(1) = y0 where 4. Solve the the IVP y = The, relationship for arbitrary functions is more subtle. To see how, consider the followingsystem, if0any. example (b) Find the equilibrium solutions 2x the , if x of 14 2 cos(x) 3 . A = y solution a they0 (c) Find the general 1 (x) = ofnd 2x = system. 47 2 x , if x 0 2cos(xthe , if x < 0 two problems. If you cos(x) following * You may use Maple to help you with ) 5. Consider the DE y y1 (x)y= = A where x your worksheet(s) if x <your assignment. , with 0 5 .do, include a printout of 0 5 3x A= . cos(x) , x IR y ( x) y 8. Consider the system0y 2= 5 =, where x) A 3 cos( 3x multiplicity 2 1 (a) Use the deﬁnitionytoeigenvalue4of 2 (x),,yx(x)IR that has two linearly 2 )= (a) Show that A has one(xshow that yx) are linearly dependent 3 cos(41 3 the2general solution of the DE. A Hence independent eigenvectors. = 0 give . on x 0. 0 0 (4 (a) Use the deﬁnition to show that y1solve 2 (x) resulting equations and (b) Write the DE in component form,), x), y) are are linearly dependent (b) Use the deﬁnition show that y1 (x y2 (x the linearly dependent on on x that A...
View Full 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