Consider the differential equation t²y'' + 3ty' - 24y = 0. [Note that we have not learned a procedure for solving this equation in our course.] -6 A. Verify that y = cit + c₂t is a solution to the differential equation. Leave the answer box for this part blank. Show all work on work pages. B. Use the general solution from part A to determine the specific solution of the initial value problem: ty'' + 3ty' 24y = 0, y(1) = 5, y' (1) = 4 Specific solution:
Consider the differential equation t²y'' + 3ty' - 24y = 0. [Note that we have not learned a procedure for solving this equation in our course.] -6 A. Verify that y = cit + c₂t is a solution to the differential equation. Leave the answer box for this part blank. Show all work on work pages. B. Use the general solution from part A to determine the specific solution of the initial value problem: ty'' + 3ty' 24y = 0, y(1) = 5, y' (1) = 4 Specific solution:
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Consider the differential equation t²y'' + 3ty' - 24y = 0. [Note that we have not learned a procedure for
solving this equation in our course.]
A. Verify that y = c₁t6 + c₂t4 is a solution to the differential equation. Leave the answer box for this
part blank. Show all work on work pages.
B. Use the general solution from part A to determine the specific solution of the initial value problem:
t'y'' + 3ty' - 24y = 0, y(1) = 5, y' (1) = - 4
Specific solution:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F24e9c030-c4e6-49da-b6c6-4b7d6c7f6fcd%2Fed2c6710-d6dc-45e4-a772-77889018dc87%2Fzfu23rok_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the differential equation t²y'' + 3ty' - 24y = 0. [Note that we have not learned a procedure for
solving this equation in our course.]
A. Verify that y = c₁t6 + c₂t4 is a solution to the differential equation. Leave the answer box for this
part blank. Show all work on work pages.
B. Use the general solution from part A to determine the specific solution of the initial value problem:
t'y'' + 3ty' - 24y = 0, y(1) = 5, y' (1) = - 4
Specific solution:
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