Find the equation of an ellipse whose eccentricity is 2/3, the latus rectum is 5 and the centre is at the origin.

Explanation

To find the equation of an ellipse with the given parameters, we can follow these steps:

### Step 1: Identify the standard form of the ellipse
The standard form of the equation of an ellipse centered at the origin is:
\[ \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1 \]
where \(a\) is the semi-major axis and \(b\) is the semi-minor axis. Given that the eccentricity \(e = \frac{2}{3}\), we know that \(a > b\).
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