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Problem 10. Consider the following first order differential equation. Check that it is separable. (e-z+y+e³)y' = 5. a) Separating variables, write the differential equation as in the following integrable form: dy = 5 b) Integrating both sides, get the general solution, implicitly. (Do not move any terms (Don't write again +C.) +C. dx. one side the equation to the other.)

Problem 10. Consider the following first order differential equation. Check that it is separable. (e-z+y+e³)y' = 5. a) Separating variables, write the differential equation as in the following integrable form: dy = 5 b) Integrating both sides, get the general solution, implicitly. (Do not move any terms (Don't write again +C.) +C. dx. one side the equation to the other.)

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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Problem 10. Consider the following first order differential equation. Check that it is separable. -5x+y + e¹)y' = 5. a) Separating variables, write the differential equation as in the following integrable form: dy = 5 b) Integrating both sides, get the general solution, implicitly. (Do not move any terms from one side of the equation to the other.) +C. I dr. (Don't write again +C.) Note that: Please be careful about the given coefficients in front of some answer boxes!!! c) Find the interval of the existence of the solution. Note: Use interval notation such as (a, b) or (a, b] or [a, b] and to denote ∞ and -∞o type inf and -inf respectively.
Transcribed Image Text:Problem 10. Consider the following first order differential equation. Check that it is separable. -5x+y + e¹)y' = 5. a) Separating variables, write the differential equation as in the following integrable form: dy = 5 b) Integrating both sides, get the general solution, implicitly. (Do not move any terms from one side of the equation to the other.) +C. I dr. (Don't write again +C.) Note that: Please be careful about the given coefficients in front of some answer boxes!!! c) Find the interval of the existence of the solution. Note: Use interval notation such as (a, b) or (a, b] or [a, b] and to denote ∞ and -∞o type inf and -inf respectively.
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