The charactersitic equation of a 2nd order, constant coefficient differential equation is p(x)=x^2, and y_p=sin(x) is a particular solution. Which is the general solution? O A. y=a+bx+sin(x), where a and b are constants O B. y=asin(bx)+c, where a, b, and c are constants O C. y=a+bx+csin(x), where a, b, and c are constants O D. y=ax+bx^2+sin(x), where a and b are constants

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
The charactersitic equation of a 2nd order, constant coefficient differential equation is p(x)=x^2, and y_p=sin(x) is a
particular solution. Which is the general solution?
O A. y=a+bx+sin(x), where a and b are constants
O B. y=asin(bx)+c, where a, b, and c are constants
O C. y=a+bx+csin(x), where a, b, and c are constants
O D. y=ax+bx^2+sin(x), where a and b are constants
Transcribed Image Text:The charactersitic equation of a 2nd order, constant coefficient differential equation is p(x)=x^2, and y_p=sin(x) is a particular solution. Which is the general solution? O A. y=a+bx+sin(x), where a and b are constants O B. y=asin(bx)+c, where a, b, and c are constants O C. y=a+bx+csin(x), where a, b, and c are constants O D. y=ax+bx^2+sin(x), where a and b are constants
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