Solve the differential equation subject to the indicated con

Solution

r²+2r+1=0

r=-1,-1

So y=(A+Bx)e^-x+C

y\'=-Ae^-x+B(e^-x-xe^-x)

y(-1)=0

(A-B)e+C=0

y\'(0)=0

-A+B=0

So y=0 is the solution