Use the separation of variables method to find the solution of the first-order separable differ-ential equationyx y′ = y2 + 9x2 + 4which satisfies y(0) = 3

Question

Use the separation of variables method to find the solution of the first-order separable differ-ential equationyx y′ = y2 + 9x2 + 4which satisfies y(0) = 3
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Solution 1

The given differential equation is yx y′ = y^2 + 9x^2 + 4.

First, we rewrite the equation in the form of dy/dx = (y^2 + 9x^2 + 4)/(yx).

Next, we separate the variables by moving the y-related terms to one side and the x-related terms to the other side of the equation. This gives us (yx)/(y^2 + 9 Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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