Math Problem Statement

solve y using integrating factor dy/dx+3y=9

Solution

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Math Problem Analysis

Mathematical Concepts

Differential Equations
Integrating Factor Method
Linear First-Order Equations

Formulas

General form of a linear first-order differential equation: dy/dx + P(x)y = Q(x)
Integrating factor formula: μ(x) = e^∫P(x)dx

Theorems

Integrating Factor Theorem

Suitable Grade Level

Grades 11-12 or College Level