Verify by substitution that the given functions are solutions of the given differential equation. Note that any primes denote derivatives with respect to x. 1 xy" + 15xy' +49y = 0, y₁=71Y2=- In x x What step should you take for each given function to verify that it is a solution to the given differential equation? OA. Substitute the function into the differential equation. O B. Determine the first and second derivatives of the function and substitute into the differential equation. OC. Integrate the function and substitute into the differential equation. O D. Differentiate the function and substitute into the differential equation. Start with y₁= 1 7 X Integrate or differentiate the function as needed. Select the correct choice below and fill in any answer boxes within your choice. OA. The indefinite integral of is fy₁ dx= "' = and the second derivative is y₁' OB. The first derivative is y₁' = OC. The first derivative is y₁ OD. The function does not need to be integrated or differentiated to verify that it is a solution to the differential equation.
Verify by substitution that the given functions are solutions of the given differential equation. Note that any primes denote derivatives with respect to x. 1 xy" + 15xy' +49y = 0, y₁=71Y2=- In x x What step should you take for each given function to verify that it is a solution to the given differential equation? OA. Substitute the function into the differential equation. O B. Determine the first and second derivatives of the function and substitute into the differential equation. OC. Integrate the function and substitute into the differential equation. O D. Differentiate the function and substitute into the differential equation. Start with y₁= 1 7 X Integrate or differentiate the function as needed. Select the correct choice below and fill in any answer boxes within your choice. OA. The indefinite integral of is fy₁ dx= "' = and the second derivative is y₁' OB. The first derivative is y₁' = OC. The first derivative is y₁ OD. The function does not need to be integrated or differentiated to verify that it is a solution to the differential equation.
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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