A radio nuclide `A_(1)` with decay constant `lambda_(1)` transforms into a radio nuclide `A_2` with decay constant `lambda_(2)`. Assuming that at the initial moment, the preparation contained only the radio nuclide `A_(1)`
(a) Find the equation decribing accumulation of radio nuclide `A_(2)` with time. (b) Find the time interval after which the activity of radio nuclide `A_(2)` reaches its maximum value.

Explanation

To solve the problem step by step, we will break it down into two parts as specified in the question.

### Part (a): Find the equation describing accumulation of radio nuclide \( A_2 \) with time.

1. **Understanding the Decay Process**:
- We have a radionuclide \( A_1 \) that decays into \( A_2 \).
- The decay constant for \( A_1 \) is \( \lambda_1 \) and for \( A_2 \) is \( \lambda_2 \).
- Initially, at \( t = 0 \), the amount of \( A_1 \) is \( N_0 \) and \( A_2 \) is 0.
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