- #1
rygza
- 38
- 0
Undetermined Coefficients, just a piece i need help with please
In one of the last steps in trying to find the Coefficients of Yp (particular solution), I am supposed to set coefficients of similar terms equal to each other. Here's where i need help:
i have
A(e^x) + (-2B-2C+2F+E)sinx + (2B+F-2C-2E)cosx + (B+2C) xsinx + (C-2B)xcosx = (e^x)+xcosx
I set: A=1, -2B-2C+2F+E = 0, 2B+F-2C-2E=0, B+2C=0, and C-2B=1
is this the correct method?
OR
am i supposed to join the sinx term and xsinx terms (second and fourth terms from my first equation) together like this:
(-2B-2C+2F+E+Bx+2Cx)sinx
?
In one of the last steps in trying to find the Coefficients of Yp (particular solution), I am supposed to set coefficients of similar terms equal to each other. Here's where i need help:
i have
A(e^x) + (-2B-2C+2F+E)sinx + (2B+F-2C-2E)cosx + (B+2C) xsinx + (C-2B)xcosx = (e^x)+xcosx
I set: A=1, -2B-2C+2F+E = 0, 2B+F-2C-2E=0, B+2C=0, and C-2B=1
is this the correct method?
OR
am i supposed to join the sinx term and xsinx terms (second and fourth terms from my first equation) together like this:
(-2B-2C+2F+E+Bx+2Cx)sinx
?