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ppDsta/Local/Packages/Microsoft.MicrosoftEdge Bwekyb3dBbbwe/Tempstate/Downloads/jan 14 scan 6] How long would it take to pay off a student loan of $20,000 if the interest paid on the principal is 5% and the student pays $200 per month. What is the total amount of money repaid by the student? Dont actually solve the problem; generate an Initial Value Problem that could assist you in solving this problem. 7] Consider the differential equation y -y-t. Draw the tp-plane and draw a dot at each point C.> where draw a hash mark at (t,.y) with slope y(). You have now generated your first slope field 8] Utilize the process/idea outlined in number 7 (using many more values for t and y than just -1,0, and t1, 0, 1 and where y1, 0, 1. At each of these nine points, compute y). On the t-plane, 1) to sketch the slope field for dx y bar al ithout the assistance of your text, the internet, or any other
ige ol0SUIE.MicrosoftEdge 8wekyb3d8bbwe/TempState/Downloads/jan_14 scan 1 2 ote: Specifically try to answer numbers 9-11 without the assistance of your text, the internet, or any other esource. If you dont get far, dont worry too much at this point. 9] In number 1, you have a differential equation and an initial condition that satisfies PC). See if you can solve this Initial Value Problem; that is, find P) which satisfies the differential equation and the initial condition Utilize the process outlined in number 14 to solve the Initial Value Problem from problem 4. Assume t is measured in seconds and after 100 seconds that 400 grams remains 10] 11] Looking at the slope field which you created in problem 8, determine the solution to the differential equation; that is, write y as a function of x whose derivative is - - dx y
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