I expect the value of my car to depreciate over the next few years at a constant rate proportional to its current value. a. Model this as a differential equation clearly stating the variables and units of measurements used. Write down the Solution to your differential equation.  b. When I bought my car brand new it was £23,500 but when I had it valued a few years ago, exactly two and a half years after I bought it, it was £19, 200. If it's now six year since I bought the car, what is its value?

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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2. I expect the value of my car to depreciate over the next few years at a constant rate proportional to its current value.
a. Model this as a differential equation clearly stating the variables and units of measurements used. Write down the Solution to your differential equation. 
b. When I bought my car brand new it was £23,500 but when I had it valued a few years ago, exactly two and a half years after I bought it, it was £19, 200. If it's now six year since I bought the car, what is its value? 

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