Math Problem Statement
dy/dx = y(1+y) show that y_2 = Ce^x / (1-Ce^x) is a solution to the differential equation
Solution
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Math Problem Analysis
Mathematical Concepts
Differential Equations
Exponential Functions
Quotient Rule
Formulas
dy/dx = y(1 + y)
y_2 = Ce^x / (1 - Ce^x)
Quotient Rule: (u/v)' = (v*u' - u*v') / v^2
Theorems
Verification by Substitution
Suitable Grade Level
Undergraduate
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