3 Which form should you use to determine a particular solution of the following differential equation?...

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3 Which form should you use to determine a particular solution of the following differential equation? y(7) – 4y(0) – 4y(5) + 56y(4) – 156y(3) + 224y" – 176y + 64y = e* cos(x) – 3e2x + xe 4x (1) yp = (A1x2 + A2x)e 4x + Aze2x + A4xe* cos(x) + A5xe* sin(x) (2) yp = A1xex + (A2x + A3)e* + A4e* cos(x) + Age* cos(x) 4x (3) yp = A1xe* cos(x) + A2xe* sin(x) + A3xex + (A4x + A5)e (4) yp = A1x'e* cos(x) + A2x'e* sin(x)+ A3x'e* + (A4x² + A5x)e 4x (5) yp = A1x°ex + (A2x + A3)e x + A4e* cos(x) + A5e* sin(x) -4x (6) yp = A1ex + A2xe* cos(x) + A3xe* sin(x) + (A4x + A5)e-4x 3 Which form should you use to determine a particular solution of the following differential equation? y(7) – 4y(0) – 4y(5) + 56y(4) – 156y(3) + 224y" – 176y + 64y = e* cos(x) – 3e2x + xe 4x (1) yp = (A1x2 + A2x)e 4x + Aze2x + A4xe* cos(x) + A5xe* sin(x) (2) yp = A1xex + (A2x + A3)e* + A4e* cos(x) + Age* cos(x) 4x (3) yp = A1xe* cos(x) + A2xe* sin(x) + A3xex + (A4x + A5)e (4) yp = A1x'e* cos(x) + A2x'e* sin(x)+ A3x'e* + (A4x² + A5x)e 4x (5) yp = A1x°ex + (A2x + A3)e x + A4e* cos(x) + A5e* sin(x) -4x (6) yp = A1ex + A2xe* cos(x) + A3xe* sin(x) + (A4x + A5)e-4x