(a) For what values of r does the function y = erx satisfy the differential equation7y+34y5y =0? (Enter your answers as a comma-separated list.)r = (b) If r1 and r2 are the values of r that you found in part (a), show that every member of the family of functionsy = aer1x + ber2x is also a solution. Let r1 be the larger value and r2 be the smaller value. We need to show that every member of the family of functionsy = aer1x + ber2x is a solution of the differential equation7y+34y5y =0. We must decide whether7f(x)+34f(x)5f(x)=0 forf(x)= aer1x + ber2x. Substitute your values forr1 and r2 intof(x), then findf'(x) and f''(x). We havef(x)= and f(x)=. Substituting and combining like terms, we get the following.7f(x)+34f(x)5f(x)=er1x +er2x Therefore,f(x)= aer1x + ber2x is a solution to the differential equation7y+34y5y =0.