Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:Solve the differential equation by variation of parameters.
y" + y = sin(x)
y(x)
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I don't understand at the beginning where it says c. f. = u1*(68x) +u2*sinx or does it mean c.f. = u1*Co(s) + u2*sinx I cannot identify what the term multiplied by u1 is.
And also, in the last part (picture attached) I cannot understand what those characters are, I'm not reading them well.
![**Result:**
\[
y = \left( \frac{\sin^2 x}{4} - \frac{x}{2} + c \right) \cos x + \left[ -\frac{\cos^2 x}{4} + c_2 \right] \sin x
\]
This equation represents a mathematical expression involving trigonometric functions \( \sin x \) and \( \cos x \), where \( c \) and \( c_2 \) are constants. The expression includes components of sine and cosine functions being squared, divided, and multiplied, presenting a complex interaction between these trigonometric elements.](https://content.bartleby.com/qna-images/question/76aaab3c-5a4a-4ff8-814d-d2e8a1f30217/0ccdeb9b-463a-42c9-9013-bd2285e6047a/6vmafv_processed.png)
Transcribed Image Text:**Result:**
\[
y = \left( \frac{\sin^2 x}{4} - \frac{x}{2} + c \right) \cos x + \left[ -\frac{\cos^2 x}{4} + c_2 \right] \sin x
\]
This equation represents a mathematical expression involving trigonometric functions \( \sin x \) and \( \cos x \), where \( c \) and \( c_2 \) are constants. The expression includes components of sine and cosine functions being squared, divided, and multiplied, presenting a complex interaction between these trigonometric elements.
Solution
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