Math Problem Statement
dy/dx = y/x + x sin y/x
Solution
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Math Problem Analysis
Mathematical Concepts
Differential Equations
Substitution Methods
Formulas
v = y/x
dy/dx = v + x dv/dx
dv/dx = sin(v)
Integral of 1/sin(v) = ln|tan(v/2)|
Theorems
Substitution in Differential Equations
Separation of Variables
Suitable Grade Level
Undergraduate Level (Calculus II or Differential Equations)
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