om. Jm LYCB. madashe PmL.GB. madasathss The value of a machine, in thousands of pounds, t years after it was purchased is denoted by £ V. The value of this machine at any given time is depreciating at rate proportional to its value squared, at that time. a) Given that the initial value of the machine was £12000, show that 12 V = at +1' madaaiaths b) Given further that the machine depreciated by £4000 two years after it was bought, find its value after a further period of ten years has elapsed. where a is a positive constant. £3000 W.GB. mada

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

Kindly elaborate the differential equation(s) involved in a depreciation type of differential equation problem and discuss all important parameters, properties, or variables required to solve a specific differential.

 
om.
The value of a machine, in thousands of pounds, t years after it was purchased is
denoted by £ V .
The value of this machine at any given time is depreciating at rate proportional to its
value squared, at that time.
a) Given that the initial value of the machine was £12000 , show that
12
V =
at +1
mada faths
where a is a positive constant.
b) Given further that the machine depreciated by £4000 two years after it was
GB. mada
DomI.YB. madasph
EB. magasaths.c
s.C
Transcribed Image Text:om. The value of a machine, in thousands of pounds, t years after it was purchased is denoted by £ V . The value of this machine at any given time is depreciating at rate proportional to its value squared, at that time. a) Given that the initial value of the machine was £12000 , show that 12 V = at +1 mada faths where a is a positive constant. b) Given further that the machine depreciated by £4000 two years after it was GB. mada DomI.YB. madasph EB. magasaths.c s.C
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,