Question #dbf40
2 Answers
Separate variables, perform partial fraction decomposition, integrate.
Explanation:
Rearranging,
Integrating both sides and factorising gives,
Performing a partial fraction decomposition gives,
Adding in the constant of integration gives,
Redefining the constant,
Solving for y,
Then choose K=1.
Given:
Use the quotient rule:
Equation [1] is the same as equation [2]. Q.E.D.