(a) For what values of r does the function y=e'x satisty the differencial equation 3y''14y'-5y=0?(Enter 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 functions Let r1 be the larger value and r2 be the smaller value. We need to show that every member of the family of f We must decide whether 3f''(x)14f''(x)-Sf(x)=0 for f(x)=af'1xbe'2x.Substitute your values for r1 and r2 into f(x), then find f'(x) and f'(x).We have f'(x)= and f''(x)=Substituting and combining ike terms, we get the following.3r'(x)14r'(x)-5r(x)=()e'xx()e'xxTherefore, f(x)=ae'1xbe'2x is a solution to the estiferencial equation 3y''14y''-5y=0.Need Help?