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Page Edit Form & Sign Convert OC OCR Assignment box on Canvas. Important . After uploading your assignment on Canvas, make sure to go back to the submis- sion box and check if your submission is uploaded properly. Check if all pages are submitted. . Try to upload your work early so that if there is a technical issue, you have time to resolve it. . If you need help from the IT office, feel free to email your instructor with full details of the issue with screenshots before the due date. . Reporting issues after the due date is not an excuse. This assignment is based on questions from Practice Problems 13, 14, and 15. 1. Sales (in thousands) of a certain product are declining at a rate proportional to the amount of sales, with a decay constant of 15% per year. (a) Write a differential equation to express the rate of sales decline. (b) Find a general solution to the equation in part (a). (c) How much time will pass before sales become 25% of their original value? 2. Find the general solution of each differential equation. (a) dy + 8y = 23 (b): 4 - ty =51 rdy + 10y = (c) Id Iduty = 2 (d) 2Vid (e) 2ry + 15 = 1 do 3. Find the particular solution of each initial value problem. (a) 4 4 -8ry - 7x = 0, y(1) = 8 (b) dy + 1 = Inx, I> 0, y(e) = e2 2 MATH 142 - Calculus