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10. Sam's parents have established a money market account for him with a balance of R10,000 that they will use to help pay for his college education. The account receives an average annual interest of 4%. It is estimated that the tuition, room and board, and other college expenses will fluctuate with R2500 sin(t) every year. The differential equation modelling the funds y available after each year is d = 0.04 y – 2500 sin(t), y(0) = 10000 Solve this differential equation.

10. Sam's parents have established a money market account for him with a balance of R10,000 that they will use to help pay for his college education. The account receives an average annual interest of 4%. It is estimated that the tuition, room and board, and other college expenses will fluctuate with R2500 sin(t) every year. The differential equation modelling the funds y available after each year is d = 0.04 y – 2500 sin(t), y(0) = 10000 Solve this differential equation.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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10. Sam's parents have established a money market account for him with a balance of R10,000 that they will use to help pay for his college education. The account receives an average annual interest of 4%. It is estimated that the tuition, room and board, and other college expenses will fluctuate with R 2500 sin(t) every year. The differential equation modelling the funds y available after each year is dy = 0.04 y – 2500 sin(t), y(0) = 10 000 Solve this differential equation.
Transcribed Image Text:10. Sam's parents have established a money market account for him with a balance of R10,000 that they will use to help pay for his college education. The account receives an average annual interest of 4%. It is estimated that the tuition, room and board, and other college expenses will fluctuate with R 2500 sin(t) every year. The differential equation modelling the funds y available after each year is dy = 0.04 y – 2500 sin(t), y(0) = 10 000 Solve this differential equation.
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