For the following system, consider that the control valves have the following dynamic behavior:
The level transmitter (LT101) delivers 0.5V for every 0.1m of tank level.
Find the differential equations that model the behavior of the entire system. EXPLAIN STEP BY STEP HOW THESE EQUATIONS WERE OBTAINED

$3 \frac{d q _{1} ( t )}{d t} + 4 q_{1} (t) = u (t), y \frac{d q _{2} ( t )}{d t} + 7 q_{2} (t) = 3 u (t)$

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For the following system, consider that the control valves have the following dynamic behavior:

student submitted image, transcription available below The level transmitter (LT101) delivers 0.5V for every 0.1m of tank level.

Find the differential equations that model the behavior of the entire system. EXPLAIN STEP BY STEP HOW THESE EQUATIONS WERE OBTAINED

3 \frac{d q _{1} ( t )}{d t} + 4 q_{1} (t) = u (t), y \frac{d q _{2} ( t )}{d t} + 7 q_{2} (t) = 3 u (t)

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