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We know that y₁(x) = e differential equation y" - is a solution to the uy' + 1vvy - u for x = (-∞, ∞). Use the method of reduction of order to find a second solution to y" – 20y' + 100y = 0 for x = (-∞, ∞). e10x (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). (b) A second solution to y" - 20y + 100y = 0 for x = (-∞, ∞) is y₂(x) =

We know that y₁(x) = e differential equation y" - is a solution to the uy' + 1vvy - u for x = (-∞, ∞). Use the method of reduction of order to find a second solution to y" – 20y' + 100y = 0 for x = (-∞, ∞). e10x (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). (b) A second solution to y" - 20y + 100y = 0 for x = (-∞, ∞) is y₂(x) =

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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We know that y₁(x) = e differential equation y" - is a solution to the uy' + 1vvy - u for x = (-∞, ∞). Use the method of reduction of order to find a second solution to y" – 20y' + 100y = 0 for x = (-∞, ∞). e10x (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). (b) A second solution to y" - 20y + 100y = 0 for x = (-∞, ∞) is y₂(x) =
Transcribed Image Text:We know that y₁(x) = e differential equation y" - is a solution to the uy' + 1vvy - u for x = (-∞, ∞). Use the method of reduction of order to find a second solution to y" – 20y' + 100y = 0 for x = (-∞, ∞). e10x (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). (b) A second solution to y" - 20y + 100y = 0 for x = (-∞, ∞) is y₂(x) =
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