Convent Cartesian equation to Parametric a) x² - y² = 4 b) y= ex et

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Topic: Converting Cartesian Equations to Parametric Form**

**Objective:** Learn how to express Cartesian equations in parametric form.

**Equations:**

a) \( x^2 - y^2 = 4 \)

b) \( y = e^x \)

**Instructions:**

1. Understand the structure of each given Cartesian equation.
2. Apply techniques to express the equations using a parameter, often denoted as \( t \).
3. Explore how these parametric equations provide a different perspective on the same graph, allowing for easier manipulation and analysis in certain scenarios.
Transcribed Image Text:**Topic: Converting Cartesian Equations to Parametric Form** **Objective:** Learn how to express Cartesian equations in parametric form. **Equations:** a) \( x^2 - y^2 = 4 \) b) \( y = e^x \) **Instructions:** 1. Understand the structure of each given Cartesian equation. 2. Apply techniques to express the equations using a parameter, often denoted as \( t \). 3. Explore how these parametric equations provide a different perspective on the same graph, allowing for easier manipulation and analysis in certain scenarios.
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