A hot body placed in air is cooled down according to Newton's law of cooling, the rate of decrease of temperature being k times the temperature difference from the surrounding. Starting from `t=0` , find the time in which the body will loss half the maximum heat it can lose.

Explanation

To solve the problem step-by-step, we will use Newton's law of cooling, which states that the rate of change of temperature of a body is proportional to the difference in temperature between the body and its surroundings.

### Step 1: Set up the equation according to Newton's law of cooling
According to Newton's law of cooling, we can express the rate of decrease of temperature as:
\[ \frac{d\theta}{dt} = -k(\theta - \theta_0) \]
where:
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