- #1
timsea81
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y" + y = sin(x)
Solve y" + y = sin(x) for y=y(x) using the method of undetermined coefficients
The homogeneous solution Yh = Asin(x) + Bcos(x)
The particular solution Yp = Csin(x).
Y''p = -Csin(x)
Y''p + Yp = -Csin(x) + Csin(x) = 0
No C exists to make Y''p + Yp = sin(x) for all x
What am I doing wrong?
Homework Statement
Solve y" + y = sin(x) for y=y(x) using the method of undetermined coefficients
Homework Equations
The Attempt at a Solution
The homogeneous solution Yh = Asin(x) + Bcos(x)
The particular solution Yp = Csin(x).
Y''p = -Csin(x)
Y''p + Yp = -Csin(x) + Csin(x) = 0
No C exists to make Y''p + Yp = sin(x) for all x
What am I doing wrong?