A standard method to solve the linear first-order differential equation dydxp(x)y=q(x) is to multiply both sides of this equation by an integrating factor (x) defined by(x)=ep(x)dx=eP(x), where P'(x)=p(x)with the constant of integration removed in the exponent.Investigate: Suppose we insist to include a nonzero constant of integration C and use an integrating factor of the form(x)=eP(x)CDoes including this constant affect the method or the final solution of the differential equation? Provide a clear mathematical justification.