Question

Given the initial value problem below, what is L{f}or Y? Write L{f}or Y. y - y - 2y = 0; y(0) = - = 5 LaTeX : +7+28 (8-2)(s+1) None of the above LTY. -7+25 LaTeX: ' (3-2)(3-1) 7-28 Lalen. (8-2)(8 - 1) LaTeX: 7-28 (8+2)(8-1)

Answer 1

Given yl_y²-2y=0; 6) = -2, Y'(o)=5. first bind general solution using Constants. for this use chale deristics equation 828-2=0 for this bind fachers 828-2=0. (8-2) (0+1)=0 8-2=0 and 871=0 8=2 and 8=-). the general solution is as follows Ty=c, &t + cz et be given dittereubeleavaliou. » C, and ca are bind from given y (o)=-2 and y'(o)=5.

Answer is (7-2s) /((s-2) (s+1))  

And in the given options none of the above

because we clearly observe that in 4th option inplace of (s+1) they gave (s-1)

Check clearly once options