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## Main Question or Discussion Point

I'm teaching Calculus and am looking for an example of a first order differential equation application that is reasonably easy to explain in terms of where the equation comes from, but difficult or impossible to solve.

I'm trying to show when you would need to use approximation techniques like Euler's method. All the book examples are differential equations with solutions so my students are having a hard time seeing why they need to bother to learn slope fields and approximations of solutions.

Any help would be greatly appreciated.

B. Gallis

I'm trying to show when you would need to use approximation techniques like Euler's method. All the book examples are differential equations with solutions so my students are having a hard time seeing why they need to bother to learn slope fields and approximations of solutions.

Any help would be greatly appreciated.

B. Gallis