Please show detailed work-up
Solve the IVP [j] = [-3 1] [:] + [6] [70] = [-]
Solve the IVP (31°= [-3 1] (x1+[] [70] - [-]
a.
b.
Solve the IVP -5 3 [= il (x1+[ 6te *) (O)=(-1) -3 Solve the IVP 79 [] = [-* ?] [?]+[6] [70] = [4] 1 0
Solve the IVP 1 (31= [ -> ] (3) [6**) (O)= [-] +
2. Consider the IVP /" -+13y-6(t-2), (o)-o,)-1 a. Solve the IVP. b. Find the exact value for the following.
Solve the IVP for the given equations
Xi' =-X1 + (3/2)x2 X2' = (-1/6)x1 - 2x2 x1(2) = 1 x2(2) = 0
1.a.
b.
c.
Solve the IVP 2 [:] = [3 =:] [:] []=[3] ņ Find e At where 2 5 A = -2 -4 Solve the IVP (21-1 -3) M (O)-() x(0) I g(0)
Solve Ivp 2 1
2) 17pt) Solve the following IVP. Xi' = -X1 + (3/2)x2 x1(2) = 1 xz' = (-1/6)x1 - 2x2 X2(2) = 0
Homework #6-Due Monday, March 11th Problem 1. Solve the IVP Problem 2. Solve the IVP Prolem 3. Solve the IVP Problem 4. Show that the set e-isto-rfundamestal wt f o Problem 5.Isa).ga)sina)) afulamestal set of solutiono with 0 x?Explain Problem 6. Consider the ODE and sappose that the oots for the characteristk equation+c0 ae the pair of Show that einco(Bt)is a fundamentall set of olutions for this ODE HINT: You will need the fact that given a quadratic ﹃watin ar'...