**Differential Equation Analysis**Given: \[ \frac{dy}{dx} = x\sqrt{y} \]\[ y(2) = 4 \]This equation is labeled as "separable" in red ink, indicating that it can be solved by separation of variables.**Explanation:**The equation is a first-order differential equation, which appears to be separable. This means it can be rewritten in a form where all terms involving \( y \) are on one side, and all terms involving \( x \) are on the other, allowing for integration. The initial condition \( y(2) = 4 \) provides a specific solution to the equation.

Answered: dy dx =x√√√y; y(2) = 4

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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