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Proceed as in this example to find a particular solution y(x) of the given differential equation in the integral form y(x) = - 100 G(x, t) f(t) dt. 64y" 16y' + y = f(x) Find the linearly independent solutions of the associated homogeneous equation. (Let c₁ and ₂ equal 1. Enter your answers as a comma-separated list.) {V₁(x), Y₂(x)} = { e е Determine the value of the Wronskian of the solution functions. w(y₁(x), ₂(x)) = Find a particular solution y(x) of the given differential equation in the integral form y(x) = L Y p(x) = f( [ ret) de dt G(x, t)f(t)dt.

Proceed as in this example to find a particular solution y(x) of the given differential equation in the integral form y(x) = - 100 G(x, t) f(t) dt. 64y" 16y' + y = f(x) Find the linearly independent solutions of the associated homogeneous equation. (Let c₁ and ₂ equal 1. Enter your answers as a comma-separated list.) {V₁(x), Y₂(x)} = { e е Determine the value of the Wronskian of the solution functions. w(y₁(x), ₂(x)) = Find a particular solution y(x) of the given differential equation in the integral form y(x) = L Y p(x) = f( [ ret) de dt G(x, t)f(t)dt.

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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Proceed as in this example to find a particular solution y(x) of the given differential equation in the integral form y(x) = - 100 G(x, t) f(t) dt. 64y" 16y' + y = f(x) Find the linearly independent solutions of the associated homogeneous equation. (Let c₁ and c₂ equal 1. Enter your answers as a comma-separated list.) {Y₁(X), Y₂(x)} = { e е Determine the value of the Wronskian of the solution functions. w(y₁(x), Y₂(x)) = Find a particular solution y(x) of the given differential equation in the integral form y(x) = Lo Yp(x) = (C 1 r(t) de dt G(x, t)f(t)dt.
Transcribed Image Text:Proceed as in this example to find a particular solution y(x) of the given differential equation in the integral form y(x) = - 100 G(x, t) f(t) dt. 64y" 16y' + y = f(x) Find the linearly independent solutions of the associated homogeneous equation. (Let c₁ and c₂ equal 1. Enter your answers as a comma-separated list.) {Y₁(X), Y₂(x)} = { e е Determine the value of the Wronskian of the solution functions. w(y₁(x), Y₂(x)) = Find a particular solution y(x) of the given differential equation in the integral form y(x) = Lo Yp(x) = (C 1 r(t) de dt G(x, t)f(t)dt.
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