MATH 240 Final: MATH 240 KSU Final Exam s97

• School: Kansas State University
• Department: Mathematics
• Course: MATH 240
• Professor: All

Document Summary

When asked to solve a di erential equation include singular solutions if any. Give implicit solutions only if necessary. (12) 1. Again consider the initial value problem from question 1: (x2 + x + 4)y + y = 0 y(0) = 0 y (0) = 1. Find a lower bound for the radius of convergence of the solution you (should have) found in question 1. page 3 of 14 pages (12) 3. a) solve x + 16x = 5 (t) x(0) = 0. X(0) = 0 page 4 of 14 pages. Solve x2y + 3xy + 6y = 0 . page 5 of 14 pages (15) 5. Find the general solution to 2x2y + (x2 + 3x)y y = 0 by expanding about the regular singular point x0 = 0 . As a hint (to save time) the roots of the indicial equation are r = 1.