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Question: problem in finding particular solution of ode

Question:problem in finding particular solution of ode

mecrob 10 Maple 12
differential-equation
December 04 2014
2

hello dear freinds

im new comer in maple.

i want to find  particular solution of an ode by following code:

ode := diff(u[1](t), t, t)+u[1](t) = -(1/4)*a^3*cos(3*beta[0]+3*t)-(3/4)*a^3*cos(beta[0]+t)

m := combine(convert(particularsol(ode), trig))

but maple solution is : m := u[1](t) = (81/32)*a^3*cos(-3*beta[0]+t)-(81/16)*a^3*cos(3*beta[0]+t)-(3/8)*a^3*t*sin(beta[0]+t)+(3/16)*a^3*cos(-beta[0]+t)-(27/16)*a^3*cos(beta[0]+t)+(1/32)*a^3*cos(3*beta[0]+3*t)

but  particular solution is :

u[1](t) = -(3/8)*a^3*t*sin(beta[0]+t)+(1/32)*a^3*cos(3*beta[0]+3*t)

is there any idear for finding the solution?

thanks in advance
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