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Separation of Variables

Splitting dy and dx onto friendly sides · BC Calculus · greeting

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Owl · Mock interview — Separation of Variables. I ask; you answer.

Owl · We'll separate, integrate, and pin down C — without throwing away solutions we divided by.

Larry’s gold answer — Show text to read it out loud.

Larry · gold answer · From dy/dx = xy, write dy/y = x dx when y ≠ 0. Also check y ≡ 0: its derivative is 0 and xy = 0, so it's a solution we must not lose.

Owl: We'll separate, integrate, and pin down C — without throwing away solutions we divided by.

You: —