MATH 240 Midterm: MATH 240 KSU math240 Exam1(2008summer)

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

Document Summary

You can use a calculator and 8. 5 11 sheet of hand written note (both sides). detail work must be shown for the full credit. (10)problem. 1. Find the general solution of the di erential equation (x3 + y x. )dx + (y2 + ln x)dy = 0, x > 0. Solve the initial value problem : dy dx. 4 x y = x3y2, y(1) = 1, x > 0. Find all solutions to the equation dy dx. Solve the equation dy dx x2 + y2. 10p. (a) find the equilibrium points of the equation. Sketch the several solution curves indicating the threshold. Also classify the equilibrium points as stable or unstable. 5 (b) if p (0) = 6 nd the limits. Suppose p (t) represents population of sh in a lake in thousands. what is the fate of the population of the sh in the lake if the current population of the sh is 1500? (d).