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Exercise 1

Avg difficulty 2.5

Suppose that you bake a potato in your microwave. When you remove the potato from the microwave oven, you record the temperature every two minutes (see this table). If room temperature is 73 degrees, write a differential equation that models the temperature of the potato, T(t)T(t), at time tt.

Temperatures for a Baked Potato
tt (minutes)T(t)T(t) (temperature in degrees Fahrenheit)
0197.2
2191.6
4187.1
6182.8
8178.7

Judson, The ODE Project, §1.1 Modeling with Differential Equations, Exercise 1

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Adapted from The ODE Project © 2019–2025 Thomas W. Judson. Licensed under CC BY 4.0. Source: The ODE Project. Imported at revision 7935458.