Particular Solutions (yp) Flashcards
1
Q
4x
A
x(Ax +B)
2
Q
1
A
A
3
Q
5x + 7
A
Ax + B
4
Q
3x^2 - 2
A
Ax^2 + Bx + C
5
Q
x^3 - x + 1
A
Ax^3 + Bx^2 + Cx = D
6
Q
sin(4x)
A
Acos(4x) + Bsin(4x)
7
Q
cos(4x)
A
Acos(4x) + Bsin(4x)
8
Q
e^5x
A
Ae^5x
9
Q
(9x - 2)e^5x
A
(Ax + Bx)e^5x
10
Q
e^3x(sin4x)
A
Ae^3xcos4x + Be^3xsin4x
11
Q
5x^2 sin4x
A
(Ax^2 + Bx + C)cos4x + (Ex^2 + Fx + G)sin4x
12
Q
x e^3x cos4x
A
(Ax +B)e^3x cos4x + (Cx + E)e^3x sin4x
13
Q
e^3x + sinx
A
Ae^3x + B sinx + C cosx
14
Q
e^xcosx
A
Ax ^x cosx + Bx e^x sinx
