A company's income grows at 23% per year, while the operating costs of the company grows at 7.4t? % per year. differential equation for the profit of the company is. dP = Income – Costs dt Use the Separable Method for solving Differential Equations from Lesson 1.1 to solve this Differential Equation. A P = 15.6t + C B) P = k e (0.23r – 0.037/2) P = k e 15.6t P = In|0.231 0.0371² + C| P = k e (0.231 – 0.02513)
A company's income grows at 23% per year, while the operating costs of the company grows at 7.4t? % per year. differential equation for the profit of the company is. dP = Income – Costs dt Use the Separable Method for solving Differential Equations from Lesson 1.1 to solve this Differential Equation. A P = 15.6t + C B) P = k e (0.23r – 0.037/2) P = k e 15.6t P = In|0.231 0.0371² + C| P = k e (0.231 – 0.02513)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
12

Transcribed Image Text:Question 12
Given the following situation
A company's income grows at 23% per year, while the operating costs of the company grows at 7.4t2 % per year.
differential equation for the profit of the company is.
dP
= Income - Costs
dt
Use the Separable Method for solving Differential Equations from Lesson 1.1 to solve this Differential Equation.
A
P = 15.6t + C
B
P = ke (0.231 – 0.037;2)
P = k e 15.61
P =
In|0.231 - 0.0371? + c|
E
P = k e (0.23t – 0.02513)
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps

Recommended textbooks for you

Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated

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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY

Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated

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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY

Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,

