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
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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)
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)
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