The solution to the initial-value problem 4y' = -8y, y(0) = -2 %3D is y = -2e-2x Select one: O True False

Q: Use computer software to obtain a direction field for the given differential equation. Sketch an…

A: Use computer software to obtain a direction field for the given differential equation. Sketch an…

Q: If 3x = 9y and 27y = 81z, find x/z?

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Q: y" − 4y = 10

A: The given differential equation is y" − 4y = 10. Its auxiliary equation is m2-4=0. Obtain the roots…

Q: Solve the following: aDx aDy aDz Əx Əx Əx if D %3D 2хya, + x?а, + ху?а,

A: D=2xyax+x2ay+xy2az

Q: Solve the First ODE (3y* – x*)dx = 3xy'dy || 4-4ln(2x)+c А-у %3D 4 4-4ln(x)+c B- y = 2 4-4ln(x)+c C-…

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Q: If 9x/4y = 1 and y = 18 , what is the value of x?

A: Simplify the equation and put value of y we get the x,

Q: If y = 3(8 – y) and y(1) = 10 what is y(0)? %D y(0) = %3D

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Q: -x+y+3z = 3 x+2y-z 0 3x+2y %3D -5z = -2

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Q: Solve for A y and dy if y = f (x) = -3x + 2x2 – 3x +5 %3D and

A: Given that: y=f(x)  =-3x3+2x2-3x+5

Q: 4. Write the solution of i = -y, ý = x, x(0) = 1, y(0) = 0 %3D

A:

Q: Find the volume of the solid enclosed by the cylinder y = x² and the planes z = 0 and

A: The given problem is to find the volume of solid enclosed by the cylinder y=x2 and planes z=0 and…

Q: y ≥ 4/3x − 4

A: We first make a table for y =4/3x − 4 and draw the line using it. Picked few values for x, for those…

Q: If x/4 = y/3 = z/2, then what would be the value of (5x + y – 2z) / 3y

A: To find: The value of 5x+y-2z3y. Given: The equation is x4=y3=z2. Calculation: Assume x4=y3=z2 is k,…

Q: 2 D²y+y=secx²

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Q: (i) Y = ax + b

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Q: dy 21 +y = xy". Solve: dx Ay20 = x + 1+0 1 + Ce" 20x 20 -20 O B.Y ** = x + + Ce21x 20 1 Oc.y20 +Ce…

A:

Q: 4. х2 — 6х + 2у - 8%3D0 at x %3D 3

A: Given :           x2 - 6x + 2y - 8 = 0 at x = 3

Q: 4. (3x – y)2 = 6x + 2y + 23 @ (1,-2) 5. x(x² – y²) = 3 @ (-1,2)

A: 4) (3x-y)2=6x+2y+23, @(1,-2) 5)x(x2-y2)=3, @(-1,2).

Q: 1. Solve (D + D3)z = 0 2. Solve (D- 2D„D, + 5D;)z = 0 %3D

A: Solution:

Q: 1. If rxty = +1 and rx2y = -1, can you tell what happens to ry when we combine x1 and x2 into a new…

A: The correlation coefficient is used to calculate the linear relationship between 2 variables.…

Q: 2) y = 3tan 3 - -2 3n 27 5n 3n 7 47 9n

A: Given query is to graph the function.

Q: Given y= x ln? (3x), then dy is dメ A\ y =X [9+ ea ( 3x) ] %3D 3 C/y21n(3x)+ [つと ( 3x) こ

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Q: Solve the DE. xdygda x² + y² O 2arctan(-) =e- +C ( ² ) = 2e=²¹² + C O arctan -xe-r2 O arctan(-) =…

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Q: x = e-7t and y = 6e2t + e-3t – 4t

A: We need to find dy/dt and dx/dt .

Q: 9. (5x+23) K mJK mMJ = (17x-41) MLMK = 10 %3D

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Q: 1. y = x3 – 2x² + 3x – 5 - - dy 3x2 – 4x + 3 - dx

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Q: Solve y(4) - 25y" = 0

A: