A first-order model of a dynamic system is 2y+5y=5u(t) with initial condition y(0)=2. find and sketch the response of this system to the unit step input u(t)=U_s(t)

Answer to your question: a. the fundamental theorem of algebra tells you that the equation will have two complex roots since the degree of the polynomial is 2. the roots are ​ x=1±i7√2 .number of roots=degree of polynomialhere, degree of polynomial is 2 so number of roots will be 2.hope it *_*

The answer is 1532.75