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CELE Engineering MathematicsDifferential EquationsSlides

Differential Equations slides, sized for screen and print. Flip through them for a five-minute pre-mock refresh, or print the deck for on-paper annotation. Either way, the slides cover Differential Equations at the depth Professional Regulation Commission (PRC) — Board of Civil Engineering tests for the CELE 2026.

Exam context

For the Civil Engineer Licensure Examination, Professional Regulation Commission (PRC) — Board of Civil Engineering tests Engineering Mathematics under a "Core" label, with Differential Equations in the 7th slot across 10 chapters. CELE candidates must clear the 70% weighted average, no sub-test below 50% cut on the 2026 paper, which draws about a meaningful share of Engineering Mathematics questions. Date to watch: May and November 2026.

Differential Equations - Slides

Slides

Differential Equations: Fundamentals and Classification

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S1

First-Order Separable Differential Equations

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First-Order Linear Differential Equations and Integrating Factor

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Exact Differential Equations

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Second-Order Linear Differential Equations with Constant Coefficients

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S5

Worked Example: Second-Order ODE with Initial Conditions

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Exponential Growth and Decay Applications

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S7

Newton's Law of Cooling

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Mixing Tank Problems

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Worked Example: Mixing Tank with Constant Volume

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S10

Non-Homogeneous Linear ODEs: Particular Solutions

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S11

Method of Undetermined Coefficients: Common Forms

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S12

Introduction to Laplace Transforms

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Damped Oscillations and Resonance

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S14

Summary of Solution Methods and Decision Tree

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Common Exam Mistakes and How to Avoid Them

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Key Formulas and Reference Summary

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Slide Count

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