Assignment #4

# Assignment #4 - Stephanie Campbell due at 11:55pm EDT...

• Notes
• 2

This preview shows pages 1–2. Sign up to view the full content.

Stephanie Campbell Assignment 4 MATH263, Fall 2010 due 10/16/2010 at 11:55pm EDT. You may attempt any problem an unlimited number of times. 1. (1 pt) Find a fundamental set of solutions { y 1 ( x ) , y 2 ( x ) } of the equation d 2 y dx 2 - 18 dy dx + 81 y = 0 . y 1 ( x ) = . y 2 ( x ) = . 2. (1 pt) Solve the initial value problem d 2 y dx 2 + 10 dy dx + 21 y = 0 , y ( 0 ) = - 6 , y ( 0 ) = 30 y ( x ) = . 3. (1 pt) Solve the boundary value problem d 2 y dx 2 + 12 dy dx + 36 y = 0 , y ( 0 ) = 0 , y ( π / 2 ) = 1 y ( x ) = . 4. (1 pt) Find a fundamental set of solutions { y 1 ( x ) , y 2 ( x ) } of the equation x 2 d 2 y dx 2 - 11 x dy dx + 61 y = 0 . in the interval x > 0. y 1 ( x ) = . y 2 ( x ) = . 5. (1 pt) Solve the initial value problem x 2 d 2 y dx 2 - 5 x dy dx + 45 y = 0 , y ( 1 ) = 1 , y ( 1 ) = 33 y ( x ) = . 6. (1 pt) Solve the boundary value problem x 2 d 2 y dx 2 - 9 x dy dx + 25 y = 0 , y ( 1 ) = 0 , y ( 3 ) = 1 y ( x ) = . 7. (1 pt) Find the function y 1 of t which is the solution of 81 y + 36 y - 5 y = 0 with initial conditions y 1 ( 0 ) = 1 , y 1 ( 0 ) = 0 . y 1 = Find the function y 2 of t which is the solution of 81 y + 36 y - 5 y = 0 with initial conditions y 2 ( 0 ) = 0 , y 2 ( 0 ) = 1 . y 2 = Find the Wronskian W ( t ) = W ( y 1 , y 2 ) .

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

This is the end of the preview. Sign up to access the rest of the document.
• Winter '09
• SidneyTrudeau
• Math, Boundary value problem, fundamental set, Stephanie Campbell, d2y dy, problem d2y dy

{[ 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