6 write a linear homogeneous DE with constant Coefficients such that it is satisfied by the following functions. of t -t + te 9 e swat , e costmi+ Om' tam - 8m + 5 = 0 let 4:= in y : = m IV 27 y to . y"+ 2 y " -84' + 5y = 0 4 : =m3 - The notation to change are y : = my correct but when transferred it was not the same : the clifferential equation is y" + Q y " - sy't sy = 0. Let 4: = m 4 != m y"! ! = m yl"! ! = m 3 1 := my Now : my + om + am - 8m + 5m = 0 ichanged to; y"+ 2 y" - 8y1 + 54 = 0 in the erequired differential equations