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DEPARTMENT OF MATHEMATICS North South University Midterm Exam (Fall 2021) | Download for quality grades |

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DEPARTMENT OF MATHEMATICS North South University Midterm Exam (Fall 2021) Engineering Mathematics (MAT-350) Time: 60 min Total Marks: 20 Name: ID: Sec: Si.No. All questions are compulsory. The e... xam contains four (5) questions of 4 Marks each. You may not use your books, notes, or any calculator and cell phone on this exam. −−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−− 1. Find the general solution of the differential equation (x 2 − 1) dy dx + 2y = (x + 1)2 . [4] 2. Verify whether the differential equation (x − y 3 + y 2 sinx)dx = (3xy2 + 2ycosx)dy is exact. Solve the differential equation considering y(0) = 1. [4] 3. A ceramic insulator is backed at 200o C and cooled in a room in which the temperature is 25o C. After 4 minutes the temperature of the insulator is 100o C. what’s the temperature after 10 minutes? [Show More]

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