Math Problem Statement
sqrt 1-y^2 dx- sqrt 2-x^2 dy, y(0)=sqrt of 3/2
Solution
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Math Problem Analysis
Mathematical Concepts
Differential Equations
Trigonometric Functions
Inverse Trigonometric Functions
Separation of Variables
Formulas
∫ dx / sqrt(2 - x^2) = sin⁻¹(x / sqrt(2))
∫ dy / sqrt(1 - y^2) = sin⁻¹(y)
Theorems
Separation of Variables
Initial Conditions in Differential Equations
Suitable Grade Level
Grades 11-12, Undergraduate
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