Given, 1 y" +-y' + y = 0 x2 Write 2 linearly independent solutions (in the form of Bessels' Equation) www

Q: Find the value(s) of z which satisfies the equation |z| 2 + 1 + 6i = 6z

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Q: Find the following in the form of x + iy ¡2i

A: We have to express the given complex number  z = i2i  in the form  x+iy.

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…

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Q: nsider the following. -2x5 + 9x4-7x³ - 12x = 0, [3,4] ) Explain how we know that the given equation…

A: In this question, we will find the solution of the equation.

Q: The roots of a d.e are -1, 2+√3 What is the solution? y = ex(c₁ cos 3x + c₂ sin 3x) + c3 cOS X + C4…

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Q: The roots of the equation x + x(p – q) – (q – r)(p – q) = 0 are ?

A: In this question we have to find roots of the equation.

Q: fa is a root of the equation 4x² + 2x - 1 = 0, then prove that ²3 is the other root

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Q: Xn+1 axn_b+Yxn-k -1 (xn−b)ª−¹+y

A: Given: The information showing the proof of a specific theorem.To prove: xn+1=αyn-b+γxn-kxn-bq-1+y…

Q: 8. What are all the roots of the function f(x) = (x² + 1)(x – 2)? ? 2. -1 and 2 iand 2

A: solve for x over the real numbers (x^2+1)(x-2)^2=0 Split into two equations  (x-2)^2=0 or (x^2+1)=0…

Q: ne x1 and x2 for the fu

A: In numerical analysis, Newton's method, also known as the Newton–Raphson method,  is a root-finding…

Q: approximate the value of cos (1/2) (sixth degree Maclaurin polynomial)

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Q: Discuss one way to linearize the equation. State what X and Y are, and to find øay: 2rìm gLH sin…

A: given equation 2πn=-2πλm2gLH0h2sinϕmax where λ , m , g, L, H0 , h are all constants and n is any…

Q: Perform the indicated operations, and write the result in the form a  bi.

A: 9. Find all real solutions.       a) x2-x-12=0b) 2x2+4x+1 =0c) 3-x-3=xd) x12-3x14+2=0e) x4-3x2+2=0f)…

Q: b) Show that P1(cos(0)) and P2(cos(0)) are orthogonal to each other, P, and P2 being Legendre…

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Q: 2. If m < n, show that mPa(x)dr deduce that r* P6(r)dr = 0. = 0, where Pn(x) denotes the Legendre…

A: We have prove the given problem.

Q: - Find the zero and its order for the function f(2)=1-Ti+Z+e.

A: Note: If W is the Lambert function then Wxex=x

Q: Fra) = Sin (2t) Find the 7h taylor Polynomial of

A: Given function is  Fx=∫1xsin2tdt

Q: Q5) Find the root of f(x)= 5 sin(x) + ex² by using bisection method take a= -1.25 and b= -1.0 for…

A: Given, fx=5sinx+ex2. Here, a=-1.25b=-1.0 Now,…

Q: 2. Show that Re(iz)=-Im z. 3. Show that Re(iz)=-Im z.

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