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Question: Part 1/4 Consider the equation for the function y given by y’,-16y + 64y = 0. a. (2/10) Find a so…

by | Nov 28, 2023 | questions



Question: Part 1/4 Consider the equation for the function y given by y',-16y + 64y = 0. a. (2/10) Find a so...

Show transcribed image text Part 1/4 Consider the equation for the function y given by y',-16y + 64y = 0. a. (2/10) Find a solution of the equation above of the formy (t) er, where ri is an appropriate constant. Part 2/4. b. (210) Use the reduction order method to find a second solution y2 = vyl not proportional to yl Start finding the differential equation- F(t, v, v') satisfied by the function v. Denote the function v' by vp. Simplify your answer F(t, v, v, ) = | ct+d

Part 1/4 Consider the equation for the function y given by y',-16y + 64y = 0. a. (2/10) Find a solution of the equation above of the formy (t) er, where ri is an appropriate constant. Part 2/4. b. (210) Use the reduction order method to find a second solution y2 = vyl not proportional to yl Start finding the differential equation- F(t, v, v') satisfied by the function v. Denote the function v' by vp. Simplify your answer F(t, v, v, ) = | ct+d

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