1.) Find all solutions of 34x-62y=8 with X,yZO

Q: 3. Find all solutions to the equation in the interval [0, 2T]: 8cos x-6cos?x+1%3D0

A: The given trigonometric equation is 8cos4x-6cos2x+1=0. To find the all solutions of this equation,…

Q: Find all solutions to (2cos x+ V3)(2sinx-1)=0

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Q: Find the exact ५००/२ Solution for y₁= 2-27

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Q: Prove that there are no integer solutions (x, y, z, w) to the equation x³ +y³ 3z²+9w² +3. =

A: The given equation is x3+y3=3z2+9w2+3. We have to prove that there is no integer solution to the…

Q: Solve the following equation on [0,2pi). 2/2 +4cos(x) = 0

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Q: (2)Using the False position method with a, = 4 , bo = 5 to estimate the solution of the equation x3…

A: Here x3-7x2+15x-19=0Let f(x)=x3-7x2+15x-191st iteration :Here f(4)=-7<0 and f(5)=6>0∴ Now,…

Q: Find the particular solution of y" + 3y' + 2y = -9sin x + 23cos . ||

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Q: Solve the following equation for x. In ( In 7x) = 0 X = (Type an exact answer.)

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

Q: 9y" = 27

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Q: 9. Solve u = 3b – 2a + 2 , for a -

A: see below the answer

Q: find general solutions (for x>0) of the Euler equation x3y3+6 x2y"+4xy'= 0

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Q: Solve the following equations in Z6 with x expressed in both standard and non-standard names: (i) xx…

A: We solve the equation and find the value of x in ℤ6.

Q: Solve the following equation 2cos(x/3)+1=0 on the interval [0,2pi)

A: Given query is to find the solution of the expression.

Q: Solve by Cauchy euler the following equation

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Q: Find all the exact solutions of 2cos^2x+2=5cos(x)

A: Consider the following equation:…

Q: The linear Diophantine equation ах + бу — С = c has a solution if, and only if,

A: The linear diophantine equation is in the form, ax+by=c,

Q: Solve the following Euler-Cauchy type equation: 1 (2²D² + 3xD+ 1)y %3D (1 – x)²'

A: The given ODE is given as: x2D2+3xD+1y=11−x2

Q: B. If AC = x + 11, and AB = 24 solve for x. %3D

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Q: 3. Determine all solutions in the positive integers of the following Diophantine equations: (a) 18x…

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Q: Solve the following IVP by the method of Undetermined Coefficients: y′′−3y′+ 2y= exsin(x); y(0) =…

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Q: 4- Find the particular solution for: 3x²y' = 5x – 6xy, x = 2 when y = 1 %3D

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Q: Find a particular solution to y" + 6y + 8y = -7tet.

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Q: Prove that the following equation has no natural solutions x? + x +1 = y².

A: we have to prove that given equation has no natural solution

Q: Given that {x, x³} is a fundamental set of solutions of x²y" -3xy' + 3y = 0, find the general…

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Q: 6. Find all solutions to the Diophantine equation 17x + 19y

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Q: 7 In the interval T, 27|the equation sin x = - 8 O (a) has no solutions (b) has one (and only one)…

A: We are given sin2x=78 and we need to find the number of solution in interval [π, 2π]

Q: Solve the following Cauchy problem: -00 0, u(r,0) =r-r, (x,0) 4r, -x <r<x.

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Q: Verify that z 2 + 4i is a solution of z2 + 6z - 40i = 0. Is 2+ 41 also a solution?

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Q: x²y x²y" – 2y = 0

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

Q: 4) Solve the following differen tial equation. O A = 0

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Q: Find all integer solutions to the Diophantine equation 22x+ 28y= 6

A: In this question, we solve the Diophantine equation for integer solutions. The Diophantine equation…

Q: Find all integer solutions to 66X + 42Y = 258. Also find all solutions (x, y) with x, y positive…

A: Given : 66X + 42Y = 258

Q: -) Solve the following Cauchy problem: -00 0, u(x, 0) = 1, u4(x,0) = 2 – e¯*, -0 <x< oo. 4 uzz;

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Q: Find the gene ral solution of the following DESI 2x²y + x y' = 1

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Q: -** Find the solution set in c Z² + 2i(32i) = 3Z

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Q: Given that 212-y? - 2r c is a one-parameter family of solutions of the DE dy = 2r - 1, dr %3D find…

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Q: Find the complete or particular solution of the following diffi- rential equations:

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Q: (2) Using the False position method with a, = 4 , bo = 5 to estimate the solution of the equation x3…

A: GIVEN :-  The solution to the equation : x3 - 7x2 + 15x = 19 with a0 = 4 ,   b0 = 5. To Determine :-…

Q: 11. If AB = 8z + 5, CB = 10z – 1, and BD 1 AC, solve for z.

A: Given, AB=8x+5, CB=10x-1

Q: 6) Find all integer solutions to the linear Diophantine equation 36x + 132y = 60

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Q: Solve for x in x² + 12 < 7x. а. b. Find all possible values of x if one of the interior angles of a…

A: Given query is to find the value of x .

Q: (2) Using the False position method with a, = 4, bo = 5 to estimate the solution of the equation x³…

A: See the attachment

Q: Solve the following Cauchy-Euler equation: 4x2 dr? dy dy 8r +y = 0. dr

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Q: Find all solutions in positive integers of the diophantine equation x^2 + 3y^2 = z^2

A: Given: A diophantine equation x2+3y2=z2 To find: x,y,z/x,y,z∈ℤ+

Q: B. Find the general solution of each of the following Higher Order LDE with cc y (5) – 9y" = 27

A: We have to find general solution of given differential equation.

Q: Give all the integer solutions of the diophantine equation 112x+46y=6

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Q: Solve the following equations: 2cos^2(x)-3cos(x)+1=0 on the interval [0,2pi)

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