Try again < Previou You have answered 3 out of 4 parts correctly. Consider the differential equation: – 30x?y" – 12x( – 5)y + 12(x – 5)y= 0, x > 0. a. Given that yı(x) 3x is a solution, apply the reduction of order method to find another solution Y2 for which Y1 and y2 form a fundamental solution set. i. Starting with Yı, solve for w in yıw' + (2y1 + p(x)y1)w = 0 so that w(1) = 4. w(x) = 4e ii. Now solve for u where u': = w so that u(1) = -2. u(x) = -10e iii. Finally, write down y2 using the u that you found. Y2 (x) = -30xe +24x b. Find the particular solution corresponding to the initial conditions y(7) = 4 and y (7) = –3. Give your answer as y =... . Answer: y=3·-7.22343 ·x+0.646058 · –30e +24x 2.
Try again < Previou You have answered 3 out of 4 parts correctly. Consider the differential equation: – 30x?y" – 12x( – 5)y + 12(x – 5)y= 0, x > 0. a. Given that yı(x) 3x is a solution, apply the reduction of order method to find another solution Y2 for which Y1 and y2 form a fundamental solution set. i. Starting with Yı, solve for w in yıw' + (2y1 + p(x)y1)w = 0 so that w(1) = 4. w(x) = 4e ii. Now solve for u where u': = w so that u(1) = -2. u(x) = -10e iii. Finally, write down y2 using the u that you found. Y2 (x) = -30xe +24x b. Find the particular solution corresponding to the initial conditions y(7) = 4 and y (7) = –3. Give your answer as y =... . Answer: y=3·-7.22343 ·x+0.646058 · –30e +24x 2.
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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