Suppose you know that y = x sin(4x) is a solution to y" + f(x)y' + g(x)y = sin(4x), and y = xe" is a solution to y" + f(x)y + g(x)y = eª. Find a solution to y" + f(x)y' + g(x)y = 6eª. help (formulas) y = → Now find a solution to y" + f(x)y' + g(x)y = 8 sin(4x) + 6eª. help (formulas) y = →

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2.1.4. Ordinary Differential Equations

Suppose you know that y = x sin(4x) is a solution to
y" + f(x)y' + g(x)y = sin(4x), and y = xe" is a solution to
y" + f(x)y + g(x)y = eª.
Find a solution to y" + f(x)y' + g(x)y = 6eª.
help (formulas)
y =
→
Now find a solution to y" + f(x)y' + g(x)y = 8 sin(4x) + 6eª.
help (formulas)
y =
→
Transcribed Image Text:Suppose you know that y = x sin(4x) is a solution to y" + f(x)y' + g(x)y = sin(4x), and y = xe" is a solution to y" + f(x)y + g(x)y = eª. Find a solution to y" + f(x)y' + g(x)y = 6eª. help (formulas) y = → Now find a solution to y" + f(x)y' + g(x)y = 8 sin(4x) + 6eª. help (formulas) y = →
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