Question: Is taking a differential equation basically just doing implicit differentiation but for integration. Why don't we just call differential equations implicit integration? What exactly defines

Is taking a differential equation basically just doing implicit differentiation but for integration. Why don't we just call differential equations implicit integration? What exactly defines a differential equation besides the fact that there have to be 2 variables.

For example, if we can do imp differentiation to find dy/dx of a function why can't we undo that using implicit integration?

Can you take the integral of a function with 2 seperate variables without doing implicit differentiation

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