How many sheets of plywood do I need for a 1020 square foot area
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Answer:
The differential equation becomes -
i.e.
Step-by-step explanation:
Given - The rate of change of the volume V of water in a tank with respect to time t is directly proportional to the cubed root of the volume.
To find - Write a differential equation that describes the relationship.
Proof -
Rate of change of volume V with respect to time t is represented by
Now,
Given that,
The rate of change of the volume V of water in a tank with respect to time t is directly proportional to the cubed root of the volume.
⇒ ∝
Now,
We know that, when we have to remove the Proportionality sign , we just put a constant sign.
Let k be any constant.
So,
The differential equation becomes -
i.e.