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)
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