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:

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Differential equation plz help asap….
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:
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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