Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Differential Equations
Separation of Variables
Exponential Functions
Integration
Formulas
dy/dx = (x^2 - 1) / e^(3y + 3)
Separation of variables: e^(3y + 3) dy = (x^2 - 1) dx
General solution after integration: e^(3y + 3) = x^3 - 3x + C
Theorems
Separation of Variables
Initial Value Problem
Suitable Grade Level
College Level or Advanced High School Calculus
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