Write the system of differential equations dr = -x + 2y. dt dy -4x + 5y dt in a matrix form, compute exp(At), where A is the matrix of equation coefficients, and use this matrix exponential to find the solution of the system subject to the initial conditions (0) = 8, y(0) = -4.

Q: 5(x + 3) = -5 - 5x

A:

Q: x+3/3-2x-12/9=1

A: The given equation is x + 3/3 – 2x –12/9 = 1.Assuming the equation is of the form,

Q: 2(-x + 14)

A: 2(-x + 14)=0 To find the value of x

Q: Simplify  8(4y-7)+3(5y+6)=

A: Topic -Simplification We are given 8(4y-7)+3(5y+6) Distributive property: a(b+c)=ab+ac

Q: Solve ,  5(x-6) = 4(x+8)

A: The given equation is 5x-6=4x+8.

Q: 3. 9x -dx (x² +7)

A:

Q: you please also do (d), (e), (f)?

A: Solution:-d) p(x<1)= e)

Q: 2(6x+11)=11+14x-4

A: Given Equation:- 26x+11=11+14x-4

Q: 8y

A:

Q: 1/3(12x-6)=4x-9

A: the given expression is 1312x-6=4x-9.

Q: 2/5x-1=3/10x+7

A:

Q: how do i get from 4x+9=21 to 4x=12

A:

Q: verify that 6A = 3(2A)

A: Here given  Thus

Q: 9(a + b) = 9a+

A: Given, 9(a + b) = 9a+

Q: Evaluate 3r+(6s)/(7), when r=3 and s=2 (21)/(7)

A:

Q: 2y

A:

Q: 2/3(18x+15)+17

A: We have to simplyfing this

Q: 3(15t-17)+2(t-45)=0

A:

Q: 5(22x+1) = 8x

A:

Q: 6(2t+3)-4(t-5)

A: We have to find the value of given polynomial :

Q: 8(c-3d)-(3c+d)

A: The given expression is

Q: 8/(x+1) - 3/2 = 4/(3x+3) What is x?

A:

Q: I need the answer as soon as possible

A: Consider the provided question, 1D2-D+3e-2x6x-15x2+9x3=x3e-2x Simplify the above equation,…