Solve the NP (Initial Value Problem) for the following systems of ODE: a. x'z x , x(0)= Answer: x(t)=0.4 e +0.6 6 4 2 2 _1 4 4 3 13 4 A 3 A 2: 30058r+16.625 sin8t b. x'= x, x(0)= Answer: x(t)=e . 5 1 10 1000s8t+3.12531n8t 4,_ 1 14 4(0)_ 2 c. x_4 3x, x _5 cos J5: +16.625 sin t] _ 7 _ sin 51' cos r J3 sin J3! Answer: XII) = 262t[ 21' 6 J5 [J3 cos J3: + sin J5