We know that y₁(x) x5 j equation 2y" + vay' - is a solution to the differential vy - u for(u,). Use the method of reduction of order to find a second solution to x²y + 5xy' — 45y = 0 for x = (0, ∞). - (a) After you reduce the second order equation by making the substitution z = u', you get a first order equation of the form 2 = f(x, z) = = Note: Make sure you use a lower case z, (and don't use z(t), it confuses the computer). y₂(x) = (b) A second solution to x²y" + 5xy' — 45y = 0 for x = (0, ∞) is =
We know that y₁(x) x5 j equation 2y" + vay' - is a solution to the differential vy - u for(u,). Use the method of reduction of order to find a second solution to x²y + 5xy' — 45y = 0 for x = (0, ∞). - (a) After you reduce the second order equation by making the substitution z = u', you get a first order equation of the form 2 = f(x, z) = = Note: Make sure you use a lower case z, (and don't use z(t), it confuses the computer). y₂(x) = (b) A second solution to x²y" + 5xy' — 45y = 0 for x = (0, ∞) is =
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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