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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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question

solve the differential equation using separation of variables

The rate of change of A(t) is the difference between interest incurred and P. dA(1) dA = = Interest accrued - P dt dt Interest accrued = Amount outstanding x interest rate per period = Axr dA=Axr-P dt
Transcribed Image Text:The rate of change of A(t) is the difference between interest incurred and P. dA(1) dA = = Interest accrued - P dt dt Interest accrued = Amount outstanding x interest rate per period = Axr dA=Axr-P dt
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 ∫dxx=ln x+C, where C is the constant of integration.

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