m238f10h1 - ( a ) y 00 + 9 y = 0 or ( b ) y 00 + 4 y + 13 y...

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

View Full Document Right Arrow Icon
Mathematics 238 review problems due Thursday September 30, 2010 please show relevant work to get full credit for each problem 1 . Find a continuous solution to each initial value problem ( a ) dy dt = 8 sin 2 t and y (0) = 3 ( b ) dy dt = ± 2 t if t < 0 sin 2 t if t 0 and y ( - 1) = 5 2 . The function y ( t ) = e - 2 t cos 3 t is a solution to which differential equation:
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ( a ) y 00 + 9 y = 0 or ( b ) y 00 + 4 y + 13 y = 0 3 . True or False: If dy dt = y then y = y 2 2 + C 4 . Calculate the derivative of ( a ) F ( x ) = Z x 2 cos t 2 dt ( b ) G ( x ) = e-4 x Z x 2 cos t 2 dt 5 . Calculate the value of Z ∞ (2 x +3) e-4 x dx...
View Full Document

This note was uploaded on 11/01/2010 for the course ENGINEERIN PHYS222 taught by Professor Ewqfqw during the Spring '09 term at University of Washington.

Ask a homework question - tutors are online