1. Find the general solution to y" - y = 0. 2. Take y" -2xy' + 4y = 0. (a) Show that y = 1-2r2 is a solution. (b) Use reduction of order to find a second linearly independent solution. (c) Write down the general solution. 3. Find the solution of y" - 17y' + 30y= 0 with y(0) = 1, y'(0) = −11. 4. Find the general solution to y" - 12y' + 36y= 0.
1. Find the general solution to y" - y = 0. 2. Take y" -2xy' + 4y = 0. (a) Show that y = 1-2r2 is a solution. (b) Use reduction of order to find a second linearly independent solution. (c) Write down the general solution. 3. Find the solution of y" - 17y' + 30y= 0 with y(0) = 1, y'(0) = −11. 4. Find the general solution to y" - 12y' + 36y= 0.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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Transcribed Image Text:1. Find the general solution to y" - y = 0.
2. Take y" -2xy' + 4y = 0.
(a) Show that y = 1-2r2 is a solution.
(b) Use reduction of order to find a second linearly independent solution.
(c) Write down the general solution.
3. Find the solution of y" - 17y' + 30y= 0 with y(0) = 1, y'(0) = −11.
4. Find the general solution to y" - 12y' + 36y= 0.
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