Question: Find the general solution to y - 2y + 2y = 2e -5 sinx. solve by assuming a particular solution form for yp. DO NOT

Find the general solution to y" - 2y + 2y = 2e" -5 sinx. solve by assuming a particular solution form for yp. DO NOT use particular integral. useful particular solution forms: TABLE 3.4.1 Trial Particular Solutions g(x) Form of yp 1. 1 (any constant) A 2. 5x + 7 Ax + B 3. 3x2 - 2 Ax2 + Bx + C 4. x- x+1 Ax' + Bx+ Cx + E 5. sin 4x A cos 4x + B sin 4x 6. cos 4x A cos 4x + B sin 4x 7. esx Aesx 8. (9x - 2)esx (Ax + B)esx 9. xeSix (Ax + Bx + glesx 10. el sin 4x Aes cos 4x + Bel sin 4x 11. 5x sin 4x (Ax? + Bx + C) cos 4x + (Ex + Fx + G) sin 4x 12. xe' cos 4x (Ax + B)3 cos 4x + (Cx + E)ed sin 4x

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