Question: 12- For the equation y() - y = 7t2 + et - cos( 2 V3t) + 5, the general solution consists of yh , general

12- For the equation y() - y" = 7t2 + et - cos( 2 V3t) + 5, the general solution consists of yh , general solution of the homogeneous given by (1), added to yp, a particular solution obtained from the method of undetermined coefficients whose simplest form is given by (2): (a) (1) yh = C1 + Czet, and (2) Up = At2 + B + Ccos( 13t). (b) (1) yh = C1+ Cat + Cget + Catet + Csthet and (2) yp = At2 + Bt + C+ Det + Ecos( V3t) + F sin( V3 2"t ) . (c) (1) yh = C1+ Cat + Cget + Catet + Csthet and (2) yp = At2 + Bt + C + Dthet + E cos( 13t) + Fsin(13t). (d) (1) yh = C1+ Cat + Cget + Catet + Csthet and (2) yp = At2 + Bt + C+ Dthet + Etet + Fet + Gcos(Vet) t) + H sin( Bt )

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