Give the general solution to the HLDE with the given set of auxiliary roots

Q: Give the general solution to the HLDE with the given set of auxiliary roots

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Q: Which of these equations has two real roots: Select one: O a. x2-4x + 4 =0 O b. x2 - 10x + 100 = 0 O…

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Q: Identify the case of the DE: у" + 2y' — 15у %3D 0 - Select one: O a. Case 3 -Complex and Distinct…

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A: the given equation is: lnln7x=0 we have to solve the given equation for x.

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Q: Ex:. Find the fourth roots of Z=-di Say no 4 K = 0₁12₂3

A: given z=-8i To find the fourth root of the given complex number proceed as follows comparing the…

Q: m = 2±i, 2±i

A: If the roots of auxiliary equation are two pairs of equal imaginary roots , i.e. of the form a±ib,…

Q: If the roots of   (1+m)x2-2(1+3m)x+(1+3m)=0 are equal then find the value of m

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Q: If r1 and r2 are two real and unequal roots to the auxiliaryequation ar2 + br + c = 0 , then general…

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Q: l roots

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Q: Which of these equations has two real roots: Select one: O a x2 - 4x + 4 =0 O b. x2 - 10x + 100 = 0…

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Q: How to solve this non exact or exacr DE xdy+ydx-3x3y2dy=0

A: How to solve this non exact or exacr DE xdy+ydx-3x3y2dy=0

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A: sec-1 0 The given expressions is not defined.

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Q: If p(q=r) prove that x +q{r-p}x+p-q) = 0 has equal roots, ther 211 q = р

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A: We know that De Moivre’s formula (cos x + i sin x)^n = cos(nx) + i sin(nx)

Q: One of the roots of x^4 + 9x^3 + 48x^2 + 78x –136 = 0 is -3+5i. Find the other three roots. Using…

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Q: +3=0 has two distinct real roots. proba

A: *Answer:

Q: Give the general solution to the HLDE with the given set of auxiliary roots. m = 0, 3, -1, l±/2 m…

A: Solution is given as below:

Q: Use DeMoivre's Theorem to calculate the following expression. Express your answer in the form found…

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Q: Given that 1 is a double root of q (x)=4x4-15x³+16x²– Chapter 3x-2, find all roots. All the roots of…

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Q: How many roots are repeated in the DE x”’ + 6x +12x’+8x = 0?

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Q: Find the real component if the nth root of a + bi is determined for a = 9, b = 5, and n= 4. Round…

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A: Given: To show that all roots of Jnx are real;

Q: m = -3, -2±i, l±2i m = 2±i, 2±i

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Q: Compute all the values of the root 1-i

A: The roots are the X values where the graph intersects the X-axis. To find the roots, Replace y with…

Q: Identify the case of the complementary solution: 49y" — 126у' + 102у %3D 0 - Select one: O a. Case 1…

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Q: If plq-r)x+q (-p)x+rp-q) = 0 has equal roots, then prove that ² = 1,1 9 Pr pr

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Q: Find the imaginary component if the nth root of  a + bi is determined for a = 9, b = 3, and n = 6.…

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Q: How many roots are repeated in the DE x"" + 6x" + 12x' + 8x = 0?

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Q: Solve the following equation for x. In x2 = 3 X = (Type an exact answer. Use a comma to separate…

A: Given: ln x2=3 To Find: To solve for x.

Q: anction, k , with degree three and has roots – 2).

A: In this question, the concept of the polynomial is applied. Polynomial The term "polynomial" refers…

Q: 2. Compute each set of roots and provide the results in Cartesian form a) x5 = a = -1

A: As per our company guidelines, we can solve first question for you. If you want other question to be…

Q: if (1+2i) one x ² (3-2) x +9=0 of the find another root of a ? 0

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Q: 15. Show that the equation, 2³ + e* = 0 has exactly one real root.

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Q: . Give the general solution to the HLDE with the given set of auxiliary roots. 1. m = 0, 3, -1, 1±/2

A: Given roots of auxiliary equation of a homogeneous linear ordinary differential equation. Setting…

Q: 7.For which value of k will the roots of 2x + kox+1 = 0 be real? .2 1) 1 2) 2 3) 3

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Q: According to Descartes's rule of sign, how many possible positive and negative roots are there for…

A: Answer is  3 positive roots  And 1 negative root. Explanation is given below..

Q: State true or false with brief justification If B, and B, are two 10™ roots of unity, then Q(B) =…

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Q: B. Give the general solution to the HLDE with the given set of auxiliary roots. 2. m =-2, -2, 5, 5,…

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