Consider the differential equation f(8) – 6 f(2) + 11f(1) – 6f = 0 We transform this differential equation into a system of differential equations by setting: = 9, = h and looking for the three functions f, f(1), f(2) at once, that is, for the vector (f, g, h)t consisting of three functions. We then have three equations that have the form: df = g dx dg h

Q: (-14) + (–7)

A:

Q: 1. Find L-¹{e-³s} 5}

A: We have to apply the inverse Laplace transform of the second shifting theorem to find the solution…

Q: V(3278)3 + 6230 – 12e90i

A:

Q: 5 -100 12 8

A: Solve the given

Q: 7+3.5-11

A: Let's Solve,

Q: State whether the following statement is true or false: A vector space may have two or more zero…

A:

Q: (1-2=) dr

A:

Q: 24 12 XD

A:

Q: Evaluate. 5(41)

A: We need to evaluate the value of 5(4!)

Q: . 3류 - 2층 : 3% +4/3) 1

A:

Q: a3-16a

A: a³−16a ⇒a(a²−16) ⇒a(a² −4²) ⇒a(a+4)(a−4)

Q: 3 1/4 + 7 1/8

A:

Q: (5V3)2

A: Explanation of the solution is given below...

Q: 7/2 + 3 4/6

A:

Q: 22n+1 3n+1 2.

A:

Q: 4 11  ✕  5 9

A: Consider the given expression as 411×59. 411×59=4×511×9=2099

Q: 2 3 B={ A= 3 Find: A+B .B+A .A-

A:

Q: . 4- 5 4m+8

A:

Q: 2

A: The Laplace inverse can be found by splitting the expression into three parts as it have power of 3…

Q: 9/12+3/24

A:

Q: (4 – a2)

A: To integrate.

Q: 5)235

A: Answer : 47

Q: Finding the LCM of 4,5

A: Given,            LCM of 4,5.

Q: ne binomial:

A:

Q: 2.)(-6)-(5(1-3)-6)-4+9)

A: The given equation is as  (-6)-(5((-3)-6)-(-4)+9)

Q: In the

A: In the diagram it is given that, the angles <G and <H are complementary. m<G = 2x + 10…

Q: 3. Find L-¹{√534}. (s+3)

A:

Q: 5 L s² + 2s – 3

A: We know that, Laplace transform of 1/(s-1) = e^t

Q: 4. Fill in the following contingency table with the number of observations that fall into each com-…

A: x1 = number of colored oranges from Skittles brand = 77 x2 = number of colored oranges from M &…

Q: (n + 4)3 =

A: Given query is to expand (n+4)3

Q: 38 10

A: