6. Given Y = c1editx1 + cze^2tx2 + ...+ Cnedntxn %3D is the solution to the initial value problem Y' = AY, Y(0) = Yo. (a) Show that Yo = c1x1 + C2X2· · ·+ CnXn- C2 (b) Let X = (x1 X2 Xn) and c = %3| ... Cn Given that the vectors x1, X2, . .. , Xn are linearly independent, show that c= X-1Yo.

Q: 64y2+7=32

A: 64y2+7=32

Q: 9w2=12w+5

A:

Q: k2-35=2k

A:

Q: -5 • -1/7 • 4/8

A: Refer to the we have to find the product of the -5 • -1/7 • 4/8

Q: The product of 4 and n is -48

A: The product of 4 and n is -48

Q: -2d+1=9

A:

Q: 125=252h+1

A: GIVEN: The equation125=252h+1 CALCULATION: We have to find the value of h. The given can be written…

Q: 14 +2

A: Adding Fractions Step 1: Make sure the bottom numbers (the denominators) are the same. Step 2: Add…

Q: 25x4y2 − 36

A: This is is simple factorization question  Formula used (a2-b2)=(a+b)(a-b)

Q: 1 +1

A: Given  1+1=

Q: ^2 for the scor

A: to find (sum of x)2 x= 1,5,4

Q: Find A. -1 1 (4A)-1 = -4 2 A =

A: Solve the following

Q: -3w+5=23

A:

Q: +100 3

A: Our objective is to find the solution of the above expression.

Q: 5y + 6(1-3)=15

A: Answer y = 3  solution is given in step 2

Q: 16+29

A: Given :16+29

Q: -4d = -64

A: Given  -4d=-64

Q: 2(a+3)= -12

A: Solution: Here 2(a+3) =-12

Q: 11+2x=31

A:

Q: 12

A: Explanation and solutions is given below....

Q: 8P4 11C7

A:

Q: Find the value of above combination

A:

Q: -5,4y+14-2y=4

A: Given ,  4y + 14 - 2y = 4     ....... (1)  We have to find value of y  (1) implies

Q: 6+197

A: Given,          6+197

Q: a+10+44=2a

A: Simplify L.H.S and then re aggrange like terms on one side and other terms on R.HS.and then…

Q: 29 ×2+3

A: Given query is to perform indicated mathematics operation.

Q: 3n + 14 = -4

A: To solve the given equation for 'n'.3n+14=-4