Math Problem Statement

(b) ௗ௬ ௗ௫ = 𝑒 ଶ௫ିଷ௬ + 4𝑥 ଶ𝑒 ିଷ௬

Solution

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Math Problem Analysis

Mathematical Concepts

Differential Equations
Exponential Functions

Formulas

dy/dx = e^(2x - 3y) + 4x^2 e^(-3y)

Theorems

First-order differential equation methods
Separation of variables
Substitution methods

Suitable Grade Level

University Level (Undergraduate Calculus)