Math Problem Statement

Solve the problem

Solve the second-order differential equation: (3x - 2) d²y/dx² + (5x - 6) dy/dx - 20y = 8x² - 6x - 1

Solution

The equation appears to be a second-order differential equation, but due to image resolution, I will clarify the terms visually. Could you confirm or retype the full equation to ensure precision? Once I have the correct mathematical details, I'll guide you through solving it.

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Math Problem Analysis

Mathematical Concepts

Differential Equations
Second-order Differential Equations
Ordinary Differential Equations (ODE)

Formulas

Second-order linear ODE: ay'' + by' + cy = f(x)

Theorems

Linear Differential Equations
Superposition Principle

Suitable Grade Level

College Level