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# What is the difference between implicit and, explicit, and total time dependence e, i.ge. $\frac{\partial \rho}{\partial t}$ and $\frac{d \rho} {dt}$?

What is the difference between implicit and, explicit, and total time dependence e, i.ge. $$\frac{\partial \rho}{\partial t}$$ and $$\frac{d \rho} {dt}$$?

I know one is a partial derivative and the other is a total derivative. But physically I cannot distinguish between them. I have a clue that my doubt really might be understanding the difference between explicit and implicit time dependence.

# What is the difference between implicit and explicit time dependence e.g. $\frac{\partial \rho}{\partial t}$ and $\frac{d \rho} {dt}$?

What is the difference between implicit and explicit time dependence e.g. $$\frac{\partial \rho}{\partial t}$$ and $$\frac{d \rho} {dt}$$?

I know one is a partial derivative and the other is a total derivative. But physically I cannot distinguish between them. I have a clue that my doubt really might be understanding the difference between explicit and implicit time dependence.

# What is the difference between implicit, explicit, and total time dependence, i.e. $\frac{\partial \rho}{\partial t}$ and $\frac{d \rho} {dt}$?

What is the difference between implicit, explicit, and total time dependence, i.e. $$\frac{\partial \rho}{\partial t}$$ and $$\frac{d \rho} {dt}$$?

I know one is a partial derivative and the other is a total derivative. But physically I cannot distinguish between them. I have a clue that my doubt really might be understanding the difference between explicit and implicit time dependence.

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# What is the differenctdifference between implicit and explicit time dependancedependence e.g:. $\frac{\partial \rho}{\partial t}$ and $\frac{d \rho} {dt}$?

What is the difference between implicit and explicit time dependence e.g. $$\frac{\partial \rho}{\partial t}$$ and $$\frac{d \rho} {dt}$$?

I know one is a partial derivative and the other is a total derivative. But physically I cannot differentiatedistinguish between them. I have a clue that my doubt really might be understanding the difference between explicit and implicit time dependancedependence.

# What is the differenct between implicit and explicit time dependance e.g: $\frac{\partial \rho}{\partial t}$ and $\frac{d \rho} {dt}$

I know one is a partial derivative and the other is a total derivative. But physically I cannot differentiate between them. I have a clue that my doubt really might be understanding the difference between explicit and implicit time dependance.

# What is the difference between implicit and explicit time dependence e.g. $\frac{\partial \rho}{\partial t}$ and $\frac{d \rho} {dt}$?

What is the difference between implicit and explicit time dependence e.g. $$\frac{\partial \rho}{\partial t}$$ and $$\frac{d \rho} {dt}$$?

I know one is a partial derivative and the other is a total derivative. But physically I cannot distinguish between them. I have a clue that my doubt really might be understanding the difference between explicit and implicit time dependence.