Determine the roots of the following d.e.: y = ce-X + c2e(2+v3)x + c3e(2-v3)x

Q: Put the equation y= a + 20a + 99 into the form y (a - h)" + k: %3D

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Q: What are the roots of the auxiliary equation corresponding to the DE 6y" + 11y"-y-6 = 0?

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Q: 글x + 등 O Write the equation y Fin the standard form 3 of Ax + By + C = 0.

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Q: If a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse, c2…

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Q: 8. a.) X + x- 2 X-2

A: According to our guidelines , we can answer only first question. Kindly re-post other remaining…

Q: 6. y" + 2y' -5y = x'e* - e* + e 3x %3D e 2x + e

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Q: Find the formula, in standard form y=ax2+bx+c, for a quadratic that has roots at x = 5 and x= -1,…

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Q: x²yy' = eY (FINAL answers should be in terms of C)

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Q: Determine all the roots of R(y)=12y²+11y-5

A: R(y)=12y²+11y-5

Q: Which of the following quadratic equations has roots at (-4, 0) and (10, 0) and goes through the…

A: Option (C) is correct option. The roots of the equation are -4,0 and 10,0. So, x=-4,10. Use the…

Q: The general solution of y' = Y can be written in the form = C

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Q: If y satisfies the given conditions, find y(x) for the given value of x. y ' (x) = 5/square root of…

A: We have to find

Q: Solve for w and show all of your work: -4 1 -5w -5

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Q: x2 + v2 - 2x - 8y- 47 = 0 %3D

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Q: Which of the following functions are solutions of the DE y-4ry 0? (a) y 5z2 (b) y= e2 (c) y=3e1 (d)…

A: The given differential equation is Compare the above DE by general form of linear DE such that

Q: 3x + y = 18 (by elimination X - 5y = -10 %3D

A: Post other problem ,  This problem solve my elimination of one variable,

Q: Q3) Solve the following graphically and check your answer algebraically a) 2x-3y -13 4x + 2y -2 b)…

A: a) 2x-3y = -13                  (1)4x+2y = -2                    (2) Multiply equation (1) with 2…

Q: PART A If WY = 15x - 2 and XZ = 9x + 10, solve for a and find WY. W. Y

A: Given, An isosceles trapezium  We know that the Diagonals of Isosceles trapezium are the same

Q: H.W: Find the domoin of y = X+3 4-[xt-q

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

Q: A. Find y' if 1. (x + y)? = 4y %3D

A: we use implicit differentiation

Q: Solve the fallowing: X+3Y=40+ 1 X-2Y=D9

A: Let's solve equations.

Q: Since T = 1 2x and = x + 2x2, we can substitute algebraic expressions into the equation found in the…

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Q: (d²4)(d-2)y=0

A: To find the roots of  (d2 - 4)(d - 2)y = 0.

Q: Q3) Solve the following graphically and check your answer algebraically a) 2x-3y -13 4x+ 2y -2 b) 3x…

A: Given the equations  1)2x-3y=-13 and 4x+2y=-2. 2)3x-2y=8 and x-y=1. 3) 3x+4y=5 and 4x+y=-2. We need…

Q: I. Find the point/s of intersection of ea element and set up the formula onl y =x°+2 x=2 -4 00

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Q: In the given question , find d2 y /dx2 implicitly in terms of x and y:-   x2 y - 4x = 5

A: Given: x2 y - 4x = 5 Now differentiate with respect to x we get,…

Q: find the value of m for which the equation (m+1)x2+2(m+3)x+(m+8)=0 has equal roots

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Q: x²y – xy² + y² = 7

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Q: Solve the following systerm: 2x + y-3z -3 x + 3y- 4z 11 x + 8y-9z 5 O(1, 2, 0) O (2, -1, 0) no…

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Q: Find the roots of: (D4 + 6D² + 9)y = 0

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Q: Find the value of the secant for ZR. 3)14 14 а. b. V5 с. d. 3 R O A

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Q: In the given question , find d2 y /dx2 implicitly in terms of x and y :- x2 y - 2 = 5x + y

A: Differentiation of the function with respect to x helps to find the derivative of the function.…

Q: Given that y = 3t^3 + 1 and x = t^2 - 5. Find y' when x = 4. Express your answer in whole number.

A: Given that: y=3t3+1x=t2-5

Q: Compute for the following equation: ax x2 + y? + z? = 3xyz

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Q: xỉ + yj+zk. If ū

A: In the given question, the concept of curl is applied. Curl Curl is a vector operator in…

Q: Let c, d e R and c > 2 + d. Show that the following equation has two distinct real solutions: x + cx…

A: Consider a quadratic equation αx2+βx+γ=0 So the roots of the above quadratic equation are given by:…

Q: Find the general solution of the following 8. (4D² – 6D + 1)y = 0 %3D -

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Q: Which of the following is the general solution to the equation x 2 y"-12y'+30y=D0?

A: We have to solve the given differential equation.

Q: Solve for w from the following equations: 3x - 2y+w = 11 x +5y- 2w= - 9 2x+y-3w= -6 A) 1 В 3 C) 2 D…

A: Given System of Linear equations can be written as in matrix form AX=b as 3-2115-221-2xyw=11-9-6 Now…

Q: Find the roots of: (D² - 4) (D2)y = 0

A: To find the roots of the given equation D2-4(D-2)y=0

Q: 1. a) Identify the following equations as linear, quadratic or neither. i) y = -x? - 4x + 2 ii) y =…

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: Find the value of m, such that D1, D2, D3 meet each other at one point. D1: x - y = 1 ; D2: 2x + y =…

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Q: Classify the following difference equations to be either regarded as first-order or not, and also…

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Q: Given the equation what is j(4)+k(1)

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Q: Solve the following DE: 3x³y = 2y(y- 3) Oy-3= Cye-1/x² O 2y-1= Cye/x Oy+3= Cyel/x² O 2y-1= Cye-1/x²

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Q: given fro)=5 TR-x) Jet On both side intergrel fcx) と mx2. +c f(0)<0+C fox)L mx2 t5 fcs)<M(S)と45 Pis)…

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Q: Find the general solution of the following 13. (D² – 2D + 2)y = 0

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Q: . Eliminate the arbitrary constant on the given equation: y = x + Cje + C2e¯2x

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Q: the sum of the roots of the equation 1/(x + a) + 1/(x == 1/c is zero, then prove that the product of…

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Q: Given the equation y = z² – 2z + 1, determine how many roots there will be.

A: Roots of a equation are the values of x for which f(x)=0.