Engineering Math Deep Dive 1.2.1 – Cracking an Initial-Value Problem from Zill

“Pure mathematics is, in its way, the poetry of logical ideas.” — Albert Einstein 🌌

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Hello, Steemit friends! 👋

Welcome to the first entry in a fresh series dedicated to hands-on solutions from Advanced Engineering Mathematics by Dennis G. Zill. Each post will showcase a fully worked example—perfect for anyone revisiting ordinary differential equations or tackling them for the first time.

Today’s Challenge – Section 1.2, Problem 1

We’re given a one-parameter family of curves and an initial condition.
Your mission (and mine) is to locate the unique curve that satisfies both the family’s formula and the differential equation

Below you’ll find the concise derivation plus a verification step to prove our answer is correct.

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📸 Solution Overview