Math302 M1 EC

# Math302 M1 EC - y 00 xf x y-f x y = 0 given that y 1 = x is...

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

Math 302 Midterm Exam Extra Credit Opportunity The following 5 problems are worth up to 10 extra points on the midterm. To get credit for a problem, your solution must be neat, complete, and correct. I will collect your solutions on Monday, April 19. 1. Use reduction of order to ﬁnd the general solution of x 2 y 00 - xy 0 + y = 0 , given that y 1 = x is a solution. 2. Use reduction of order to ﬁnd the general solution of y 00 + ( x 2 - 1) y 0 - x 2 y = 0 , given that y 1 = e x is a solution. Your answer should involve an integral. 3. Use reduction of order to ﬁnd the general solution of
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: y 00 + xf ( x ) y-f ( x ) y = 0 , given that y 1 = x is a solution. Here f ( x ) is a arbitrary function. Your answer should involve an integral. 4. Find the general solution of x 2 y 00 + xy-y = x 2 e-x , given that y 1 = x and y 2 = x-1 are solutions of the related homogeneous equation. 5. Find the general solution of 2 x 2 y 00 + 3 xy-y = x-1 , given that y 1 = x 1 / 2 and y 2 = x-1 are solutions of the related homogeneous equation....
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online