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)