MATH 0290 Final: Math 0290 Final Exam (0290) 1 -200
Document Summary
Sample final exam: solve the initial-value problem. Mention a type of the given di erential equation. (a) (b) y . = x2y, y(0) = 8, where y = dy dx t dx dt. = 4x + t4, x(1) = 5. (c) y 4y = 2e4t, y(0) = 3, y (0) = 11: find the general solution to the equation y + 4y + 4y = 12t2. The system is allowed to come to rest. Then the mass is displaced 1 m in the downward direction and given a sharp tap, imparting an instanteneous velocity of 1 m/s in the downward direction. Write the answer in a vector form. y . 2 = y2: by using the variation of parameters technique and the fundamental matrix nd a particular solution to the system. 1 = 3y1 6y2 + 2e 5t y y .
