Solve the homogenous SOLDE. (Characteristic equations, real, distinct root) y(o) = -6 ; y'(o) = -18 a.3y'' + 2y' - 8y = 0

Q: 100x+2y=1 and also 100x-2y=1 What is the value of y? A

A: 100x + 2y = 1100x - 2y = 1You can use the method of elimination to find the value of y. Add equation…

Q: dius 9 units and center dius 3 units and center

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Q: How Reducible Second-Order Equation is form?

A: Given:  How Reducible second order equation is form.

Q: (a) Form the difference equation whose solution is yk = c1 + (c2+ csk)(-1)*, where c1, cz and cs are…

A: Given that the solution is yk=c1+c2+c3k-1k. To find the difference equation of this solution: For,…

Q: 200x + 250y D44,000 x+y= 200 %3D 44.000

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Q: Find the equation y = f(x) passing through the points (-11-21), (1,15), (2,12) and (3, 3)? Find also…

A: We will use the Lagrange interpolation method. We have: x x0=-1 x1=1 x2=2 x3=3 y y0=-21 y1=15…

Q: Az Solve j=1(a-3).where r and "a are constant.

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Q: (b) If you walk northwest, will you start to ascend or descend? O ascend O descend At what rate?…

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Q: Exercises To Solve [No.5] 2 dx 05² зах (2) x²+2x+5 9x²-6x+5 -11

A: Solution is here

Q: x+1 If y 2х — уx then y' will be.

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Q: Find y'. y=(4x-4)(2x+1) OA. 16x-2 B. 8x-4 OC. 16x-12 OD. 16x-4

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Q: 5x 18 -7 1.Solve for x: x-4

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

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

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Q: The windchill index announced during the winter by the weather bureau measures how cold it "feels"…

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Q: 2x3 = (3xy + 1)2 Implicit Derivative with Solution and Answer

A: Given : 2x3=(3xy+1)2   To Find : Implicit derivative

Q: Let r, r, and r, be the roots of x’ +3x² –5x-4=0, construct the equation whose roots are: 7 (r, +r,…

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Q: x3y'''+2x2y''-2xy'=2x-4 Find the general solution of the equation.

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Q: Step 1: Choose one equation to begin. (Suggestion: Choose the equation that has a variable already…

A: Suppose one equation is: x+2y=3

Q: Find the points of intersection of the graphs of the equations. x2 + y = 17 -2x + y = 14 (x, y)…

A: Given  x2 + y = 17     (i) -2x + y  = 14 ⇒ y = 14+2x       (ii) Putting the value of y in equation…

Q: If u(x) = x3, then du = 3x2.

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Q: 2x3 = (3xy + 1)2 Implicit Derivative with Solution (step by step using chain rule and product rule)…

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Q: Find y'". y = - 3x° (5x + 6)? O A. - 330x5 -1,800x4 - 60x .3 O B. - 3,150x5 - 5,400x4 - 2,160x3 OC.…

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Q: Suppose you are climbing a hill whose shape is given by the equation z = 900 - 0.005x north. 0.01y,…

A: Directional derivative of a function f(x,y,) in the direction of unit vector  u^=ai^+bj^  where…

Q: If the roots of the equation a(b-c)x² + b(c-a)x+ c(a - b) = 0 - are equal, show that 2/b = 1/a +…

A: What is Discriminent: The discriminant of a higher degree equation in one variable determines the…

Q: 23. Select the expression that simplifies to æy10z -1.3 O -lyz

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Q: The equation in the form Ax + By = C (-6,3) and (0,-2)

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Q: Find y''. 3 y=(√x - 5)-³ 3 12 -5 +5) (√x - 5)-5 4x O A. 3 OB. -2(√x-5)-4 OC. 6(√x-5)-5 O D. 3 - 2…

A: Given function:- y=x-5-3

Q: Choose a non-exact equation and solve. (xy- 2y?)dx - (x2 –- 3xy)dy=0 1.

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Q: (x' +10)dx 2. x' – 2x² + 5x

A: ∫(x3+10)(x3-2x2+5x)dxPerorm polynomial long division=∫(2x2-5x+10x3-2x2+5x+1)dxApply…