MATH 240 Final: MATH 240 KSU Final Exam s99

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

Document Summary

Show all your work in the space provided under each question. Please write neatly and present your answers in an organized way: solve: dy dx. Y : find the general solution x 3x + 2x = et . Page 2: without solving the equation, graph several solution curves for the di erential equa- tion dp dt. Find the equilibrium points and classify each as stable or unstable. Make sure you draw at least two solution curves between each pair of equilibruim points. Page 3: use the euler method with stepsize h = . 5 to estimate x(1) and y(1) for the initial. Page 4 value problem dx dt dy dt. = xy + t y(0) = 0: solve: x2y xy + y = x . Here you may assume x > 0 . Page 5: find the general solution. x dy dx.