Question: We have transformed ODEs to separable form, to exact form, and to linear form. The purpose of such transformations is an extension of solution methods

We have transformed ODEs to separable form, to exact form, and to linear form. The purpose of such transformations is an extension of solution methods to larger classes of ODEs. Describe the key idea of each of these transformations and give three typical examples of your choice for each transformation. Show each step (not just the transformed ODE).

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