Answered step by step
Verified Expert Solution
Question
1 Approved Answer
MATH 2255: Differential Equations Final Review Questions Prof. ll Final: 29-Jul The problems below should provide decent review for the various techniques to solve ODEs
MATH 2255: Differential Equations Final Review Questions Prof. ll Final: 29-Jul The problems below should provide decent review for the various techniques to solve ODEs that we covered in this class. That being said, this is not to be taken to be an all inclusive list of all you need to know. You should be familiar with modeling (particularly spring-mass systems), how to determine constants so that initial conditions are satisfied if provided, numerical methods (particularly Euler's Method), and various aspects of the theory (Picard's theorem in all its forms, Wronskian, etc). Expect a potpourri problem on the final that deals with these aspects (similar to problem 4 from exam 3). (x + 2) sin y . 1. Find the general solution to y = x cos y 2. Find the general solution to y 2xy = 6xex 2 3. Find the general solution to xy = (1 2x2 ) tan x 4. Find the general solution to y 2y + 5y = sin(t) 5. Find the general solution to y (4) y = U (t 1) sin(t). 6. Find the general solution to y 3y + 2y = 1 . 1 + ex 7. Find the general solution to y + xy + y = 0 centered about the ordinary point x0 = 0. 8. Find the general solution to y + xy + y = x centered about the ordinary point x0 = 0. 9. Find the general solution to 2x2 y + xy (x + 1)y = 0 centered about the regular point x0 = 0
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started