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Given the following differential equation dy - 7y = 5 x y dx Bernoulli's Equation will not work with this differential equation. Which statement below gives the correct reason as to why Bernoulli's Equation will not work in this situation? There is only 1 correct answer listed below. A The "y" in the last term cannot have an exponent of 1 or 0. B The middle term must contain an "x ".

Given the following differential equation dy - 7y = 5 x y dx Bernoulli's Equation will not work with this differential equation. Which statement below gives the correct reason as to why Bernoulli's Equation will not work in this situation? There is only 1 correct answer listed below. A The "y" in the last term cannot have an exponent of 1 or 0. B The middle term must contain an "x ".

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Given the following differential equation dy - 7y = 5 x y dx Bernoulli's Equation will not work with this differential equation. Which statement below gives the correct reason as to why Bernoulli's Equation will not work in this situation? There is only 1 correct answer listed below. A The "y" in the last term cannot have an exponent of 1 or 0. B The middle term must contain an "x". The differential must be " dy / dt " instead of " dy / dx ". The "y" in the last term must have an exponent that is exactly 1 more than the exponent for the "y" in the middle D. term.
Transcribed Image Text:Given the following differential equation dy - 7y = 5 x y dx Bernoulli's Equation will not work with this differential equation. Which statement below gives the correct reason as to why Bernoulli's Equation will not work in this situation? There is only 1 correct answer listed below. A The "y" in the last term cannot have an exponent of 1 or 0. B The middle term must contain an "x". The differential must be " dy / dt " instead of " dy / dx ". The "y" in the last term must have an exponent that is exactly 1 more than the exponent for the "y" in the middle D. term.
Expert Solution
Step 1

Given differential equation dydx−7y=5xy.

We have to check which of the given option is correct.

The standard Bernoulli equation is given below

 dydx+Pxy=Qxyn, n≥2

Here, in dydx−7y=5xy, the exponent of y is 1 which is not possible.

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