This preview shows pages 1–10. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: n n show all work!!! 2. ( 3 points ) * Does the following series X n =0 1 n 21 converge or diverge. Justify your answer. 3. ( 4 points ) *** Does the following series X n =0 n 2 n 5 + 2 n 2 converge or diverge? Justify your answer 4. ( 4 points ) ***What is the radius and interval of convergence for the following power series X k =1 (1) k k 21 x k 5. ( 3 points ) ** Find a power series expansion for the function f ( x ) = cos x centered at x = 6. ( 3 points ) ** Find a power series expansion for the function f ( x ) = 1 + x 1x centered at x = 0 7. ( 3 points ) * Solve the ODE y +2 xy = x 8. ( 3 points ) * Find the general solution to the ODE y 00 + y + y = 0 9. ( 4 points ) *** Use the method of power series to solve the ODE y3 y = 0...
View Full
Document
 Fall '11
 c
 Math

Click to edit the document details