Math Problem Statement
dy/dx=x^2y^-5 and y(0)=8
Solution
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Math Problem Analysis
Mathematical Concepts
Differential Equations
Separation of Variables
Integration
Formulas
dy/dx = x^2 y^-5
y^5 dy = x^2 dx
∫y^5 dy = ∫x^2 dx
y = (2x^3 + 6C)^(1/6)
Theorems
Separable Differential Equations
Initial Value Problem
Suitable Grade Level
Grades 11-12, College Level
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