Math Problem Statement
y'''-5y''+3y'+9y=0
Solution
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Math Problem Analysis
Mathematical Concepts
Differential Equations
Characteristic Equation
Root Finding
Formulas
Characteristic equation of a third-order linear homogeneous differential equation
Theorems
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Suitable Grade Level
Undergraduate
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General Solution of Third-Order Differential Equation y''' + y'' + y' + y = e^{-t} + 4t
General Solution for Third-Order Differential Equation: y''' + y'' + y' + y = e^{-t} + 4t