## Solution Library

# Formulation of Linear Differential Equations

**Question**

A tub of water is taken whose temperature outdoors at t= 0 after spending a lone time in a room whose temperature was 68° F (20° C). Outdoor temperature is 39^{0} F (5°C). Assume that the temperature of the water obeys Newton’s law of cooling, with time constant of 30 minutes.

Solve the equation for T as a function of time.

**Summary**

The question belongs to Mathematics and it discusses about formulation of linear differential equations for a given temperature.

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## Comments

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