(d) 3 sin 2x = y(x)+ | (x-t)y(t)dt.
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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Equations and inequalities describe the relationship between two mathematical expressions.
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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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![The equation shown is:
\[ (d) \quad 3\sin 2x = y(x) + \int_{0}^{x} (x-t) y(t) \, dt. \]
This equation appears to be an integral equation involving a function \( y(x) \). The right side includes an integral from 0 to \( x \), where the integrand is the product of \( (x-t) \) and \( y(t) \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe25f92a2-1c4d-41a3-af19-0cdf00d27604%2F9bb6530f-4bea-4806-b68d-a71d84dd3a71%2Fpzirqro_processed.png&w=3840&q=75)
Transcribed Image Text:The equation shown is:
\[ (d) \quad 3\sin 2x = y(x) + \int_{0}^{x} (x-t) y(t) \, dt. \]
This equation appears to be an integral equation involving a function \( y(x) \). The right side includes an integral from 0 to \( x \), where the integrand is the product of \( (x-t) \) and \( y(t) \).
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