Thanks a lot everybody, I thought you could use the primitive y=C1e^x+C2e^2x+x for x=1 y=0 would be: -1=C1e^1+C2e^2 as one equate and then the 1st order differentiated as the 2nd which was C1e^x+2C2e^2x+1 for x=1 y=0 was -1=C1e+2C2e^2 for those two using determinants I got [e,e^2;e,2e^2] = e*2e^2-e*e^2=-e^3 for the C1 numerator: [0,e^2;-1,2e^2]=0-(-e^2)=e^2 then C1=1/-e whereas for C2 [e,0;e,-1]=-e-0=-e and C2=-e/-e^3=1/e^2 evidently this is wrong using the equate from when x=0 y=0 which was C1+C2=0 against the equate for x=1 y=0 which was C1e+C2e^2=-1 thus from determinants denominator is [1,1;e,e^2] = 1*e^2-e*1=e^2-e numerator for C1[0,1;-1,e^2]=0-(-1)=0+1=1 and C1=(1/e^2-e) while numerator for C2=[1,0;e,-1]=-1-0=-1 and C2=-1/(e^2-e)