The rate of change of A(t) is the difference between interest incurred and P. dA (1) dA dt = = Interest accrued - P dt Interest accrued = Amount outstanding x interest rate per period = Axr dA=Axr-P dt
The rate of change of A(t) is the difference between interest incurred and P. dA (1) dA dt = = Interest accrued - P dt Interest accrued = Amount outstanding x interest rate per period = Axr dA=Axr-P dt
The rate of change of A(t) is the difference between interest incurred and P. dA (1) dA dt = = Interest accrued - P dt Interest accrued = Amount outstanding x interest rate per period = Axr dA=Axr-P dt
solve the differential equation using separation of variables
With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.
Expert Solution
Step 1
A differential equation can be solved using the variable separation method. In this method, the terms with like variables are isolated on either side of the equation and then integrated with respect to the variables to yield the general solution.
It is known that , where C is the constant of integration.