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Consider the differential equation y"-12y+36y = 0. 6x 6x (a) Verify that y₁ = eo and y2 = xeº are solutions. (b) Use constants c₁ and c₂ to write the most general solution. Use underscore to write subscripts. y = (c) Find the solution which satisfies y(0) = -5 and y'(0) = -1. y =

Consider the differential equation y"-12y+36y = 0. 6x 6x (a) Verify that y₁ = eo and y2 = xeº are solutions. (b) Use constants c₁ and c₂ to write the most general solution. Use underscore to write subscripts. y = (c) Find the solution which satisfies y(0) = -5 and y'(0) = -1. y =

Advanced Engineering Mathematics
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 y"-12y'+36y = 0. 6x 6x (a) Verify that yı = e and 92 = xe are solutions. (b) Use constants C1 and C2 to write the most general solution. Use underscore to write subscripts. y (c) Find the solution which satisfies y(0) = −5 and y'(0) = −1. y Submit Question
Transcribed Image Text:Consider the differential equation y"-12y'+36y = 0. 6x 6x (a) Verify that yı = e and 92 = xe are solutions. (b) Use constants C1 and C2 to write the most general solution. Use underscore to write subscripts. y (c) Find the solution which satisfies y(0) = −5 and y'(0) = −1. y Submit Question
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