MATH 2410Q Midterm: Exam 1 Spring 2017

• School: UConn
• Department: Mathematics
• Course: MATH 2410Q

Document Summary

Clearly mark each answer: (20 points) chekc if the given function y is a solution of the initial value problem (a) y = x2(1 + ln x) (b) y = x. 3xy (x) 4y x2 y(e) = 2e2, y (e) = 5e. y (x) = x2. Xy (x) + y + 1 x2 y(1) = 3: (20 points) find the general solution of, (20 points) solve the initial value problem dy dt. + 2y = t2 + 1. dy dt. 2 t y = t2 y(1) = 0: (20 points) consider the di erential equation dy dt. Why or why not: (20 points) a 400-gallon tank initially contains 200 gallons of sugar water at concentration of 0. 1 pounds of sugar per gallon. Suppose water containing 0. 5 sugar per gallon ows into the top of the tank at a rate of 2 gallons per minute.