MATH 240 Final: MATH 240 KSU Final Exam s14
15 Feb 2019
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Problem 1. (25 pts) solve the initial value problem dy dx. Problem 2. (25 pts) solve the initial value problem dy dx. Problem 3. (25 pts) solve the initial value problem. Problem 4. (25 pts) find and classify (as stable, unstable or saddle) the equilibria of the system (cid:26) x = xy 1. Problem 5. (25 pts) solve the initial value problem x2y + 5xy + 4y = 0, y(1) = 0, y (1) = 1. Problem 6. homogeneous euler equation (25 pts) it is known that the general solution of the is x2y 2xy + 2y = 0 y = ax + bx2, where a and b are arbitrary constants. Use variation of parameters to solve the initial value problem x2y 2xy + 2y = x, y(1) = y (1) = 0. Xn=0 ynxn be the solution of the initial value problem (x2 + 1)y + xy 4y = 0, y(0) = 1, y (0) = 0.
