Math Problem Statement
u_t + 3t^2 u_x = 0 , u(x,0) = 2+t^3
Solution
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Math Problem Analysis
Mathematical Concepts
Partial Differential Equations
Method of Characteristics
Linear PDEs
Formulas
Characteristic equation: \frac{dx}{dt} = 3t^2
Initial condition: u(x, 0) = 2 + t^3
Theorems
Method of Characteristics
Suitable Grade Level
Undergraduate
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