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Jeff12341234
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I need to solve for C. I know it's probably simple but i don't remember how to. This is what I have so far:
Mangoes said:Use the initial conditions given.
Also, your solution's incorrect.
You only have 100L of solution at one point in time, so at only one point in time will the concentration leaving the tank be A/100. There's a net change in volume as time passes.
A differential equation mixture problem is a type of mathematical problem that involves finding the rate at which a substance is being added to a mixture, while taking into account the changing concentrations of the mixture over time.
To solve a differential equation mixture problem, you need to first write out the differential equation that represents the problem. Then, you can use various mathematical techniques, such as separation of variables or substitution, to find the solution. Finally, you can solve for any unknown constants, such as the concentration of the substance being added to the mixture.
The constant (C) in a differential equation mixture problem represents the initial concentration of the mixture. It is often referred to as the "constant of integration" and is necessary to find the specific solution to the problem.
Yes, a differential equation mixture problem can have multiple solutions. This is because there are often multiple ways to solve a differential equation, and each solution may be valid. However, the initial conditions of the problem can help determine which solution is the most appropriate.
Differential equation mixture problems are commonly used in science, particularly in fields such as chemistry, biology, and physics. They are used to model and understand real-world processes, such as chemical reactions, population growth, and fluid dynamics. By solving these problems, scientists can make predictions and analyze the behavior of complex systems.