another problem just want to check im doing it right?

....solve differential equation leaving unknown letter K in constant

dy = ky dx

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As a side note, if we drop the "k", we are left with

dy/dx = y

In other words, there is a function whose derivative is the function itself.

Have you come across such a function in calculus?

(I hope so!)

Such a function is often used to model growth and decay...