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This image is from Thomas's calculus, 10th edition, chapter 9 section 2. It is solving an example problem about first-order linear differential equations.

To solve the equation, one needs to multiply the standard form of it by [itex] v = e^{\int{Pdx}} [/itex].

I can't seem to understand the part highlighted in blue. Why is the constant of integration equal to 0 (when v is being computed)? Are you always allowed to do this?

BiP

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# First-order linear Diff Eqs

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