Convert the Second order ODE  x''+2x'+9x+5=0 to a first order system of two equations. Use y for x'. x'(t) = ? y'(t)= ?

Q: solve y(4)-3y'''+2y''=e3x  using undetermined coefficient

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Q: '= -x+y - 8

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Q: Determine all solutions. y'= (x-y + 3)²

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Q: solve  w''' - 4w'' - 25w' + 100w = 0 how many linear independent solution to the equation needed…

A: solve  w''' - 4w'' - 25w' + 100w = 0 how many linear independent solution to the equation needed to…

Q: Find the solution of the system of equations below: X; x(0) = (²) x' = (²-3)x;

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Q: Solve for y in two ways. y' - 5y = -3

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Q: y' - 4y = 4y18

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Q: Solve for ‘x’ and ‘y’ where x + y = a – b, ax – by = a2 + b2

A: To solve the equation for x and y.

Q: Differentiate the function. r(t) = (3²- + 8)i + r'(t) = (6t)i + ( 132 r'(t) = i + (6t)j r'(t) =…

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Q: 23. (1.4) Solve y +2 = (4x + 2y + 6)-'e2«+v+3.

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Q: In Calculus you will see the symbol y'. Treat y' as a variable and solve the equation for y. 6y²y +…

A: To solve the following equation for y'. 6y2y'+30xy+6x2y'=5y2+25xyy'

Q: Differentiate y = (2х + 1) а. 2 y = (2х + 1) b. 1 y = 2/(2х + 1) 1 y = (2х + 1) d. y = (2х + 1) е.…

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Q: y=1/4x+17/4 ;    (1,4), (5,3) How do I find the net change?

A: The given linear equation is y=-14x+174. The given points are (1,4) and (5,3).  We have to find the…