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The general solution to the non-homogeneous differential equation 3y18y+27y=4cos(6x) has the form y(x)=yc(x)+yp(x) where yc(x)=c1e3x+c2xe3x is the complementary solution and yp(x) is a particular solution.
The general solution to the non-homogeneous differential equation 3y18y+27y=4cos(6x) has the form y(x)=yc(x)+yp(x) where yc(x)=c1e3x+c2xe3x is the complementary solution and yp(x) is a particular solution. The method of variation of parameters seeks a particular solution of the form yp(x)=u1(x)e3x+u2(x)xe3x where u1(x) and u2(x) are unknown functions. Determine the differential equations for u1(x) and u2(x). dxdu1dxdu2=1=
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