πŸ“— Advanced Engineering Mathematics – Zill: Problem 1.2.4 | First-Order ODE

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πŸ“— Advanced Engineering Mathematics – Zill: Problem 1.2.4 | First-Order ODE
Hi Hive math enthusiasts! 🧠✍️

Today’s problem comes from *Advanced Engineering Mathematics* by **Dennis G. Zill**. It deals with **first-order ordinary differential equations (ODEs)** and finding a **particular solution** that satisfies an initial condition.

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### πŸ”Ή Problem 1.2.4:



![Captura desde 2025-07-25 12-48-28.png](https://files.peakd.com/file/peakd-hive/walterprofe/23tcLUdaSNHydzLzuPzMCeSpmzEnf1moULc9h5XW3BdwxvSqRMQRFRUCLuM6RCqwSu9rE.png)


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This problem is an excellent example of how initial conditions determine a unique solution from a family of curves and how the interval of definition is influenced by potential singularities in the expression.

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πŸ“Έ **Here’s my complete step-by-step solution to the problem:**


![Captura desde 2025-07-25 12-48-40.png](https://files.peakd.com/file/peakd-hive/walterprofe/23tSzR6hghD4brSrMj6kBEwWsvycqVdaBscjpPNicRCebN9wegBfNZDX2EDnngwzjqDHa.png)


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Do you also enjoy solving ODEs? Let me know how you approached it or if you found a different reasoning! πŸ”πŸ’¬

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