Homogeneous Differential Equation

Concept:
The given differential equation is a homogeneous differential equation because the numerator and denominator contain terms of the same degree. Such equations can be solved using the substitution:
Step 1: {Substitute .}
Step 2: {Simplify the equation.}
Step 3: {Separate the variables.}
Step 4: {Integrate both sides.}
Step 5: {Substitute .} Simplifying the logarithmic terms:
Step 6: {Conclusion.} Thus, the general solution of the differential equation is: