How to prove a potential solution is actually correct
In short: In AP Calculus AB, verifying a solution to a differential equation requires more than just a guess. This video demonstrates the precise process of differentiation and substitution needed to confirm accuracy.
The video covers the fundamental method for checking whether a potential solution satisfies a differential equation. To perform the verification, you must differentiate the proposed solution and then substitute both the original solution and its derivative back into the equation to see if the equality holds.
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Sources
- Summary by Intellect · source: Verifying solutions to differential equations | AP Calculus AB | Khan Academy
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