PROBLEM 1(30 pts) Let h(t)be a right sided impulse response of a system and its Laplace transform is given by H(s) 10(-8+1) (s+10)(s+ Part a. Find the differential equation describing the system 29+)td) His loS+ (+|)(5+)52+|s+10 Y1)(s2+15+10)X(9)(-10s+|0) K3sY)+sY5)+10V(9)=-0s×5)+10×(}= Part b. Is the system causal? YES or No es Brief explanation ince Hs)) (+边成-siox K ct) io rgrt-nided po yeo i is caee