MATH 240 Midterm: MATH 240 KSU Test 1s97

• 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. (13) 1. 2 y(1) = 1 page 2 of 9 pages (12) 2. = x2y2 4x2 y(0) = 2 page 3 of 9 pages (13) 3. = cos(x) y(0) = 2 page 4 of 9 pages (12) 4. + yexy = cos(x) page 5 of 9 pages (12) 5. Solve dy dx x + y x y page 6 of 9 pages (13) 6. Sketch all xed point solutions and example solutions for regions above, between and below the xed points. Classify all xed points as stable or unstable. Which model of population dynamics does this represent? dp dt page 7 of 9 pages (13) 7. Solve y + 2xy = 5 y(1) = 1 page 8 of 9 pages (12) 8.