Which of the following Diophantine equations can be solved? (a)12x + 14y = 31 (b) 16x + 7y = 17 89x+ 27Y = 17 (d) 20x + 14y = 111

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Q: Which equation has no real Solutions? Ax+2x+l=0 7. +2x+1%=0 BX+4x+2=0 ©*+5x+7=0 6x+ 6x+8=0

A: For real solution check the discriminant of all rhe quadratic equation.

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A: The given equation,          x2+7x-3=0

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Q: Solve for the solution of the DE: y' – 5y = 0

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Q: Question 4 Solve the equation. -15y + 75y = -y + 125 O y = 25 Oy = 5 O y - 5 and y =-5

A: Let's solve your equation…

Q: After 9y - 18 = 27 is simplified to 9y = 45, what is the second step to solve for the variable "y"?

A: Solution: The objective is to find the value of y

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Q: Which of the equations below represents the first step of the solution process? 5(6x + 4) + 1 = -39…

A: Solve the following

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Q: If x, y, z E N, solve the equation: 2 3 1 - -

A: Given that, x,y,z∈ℕ and the given equation is: 1x+2y-3z=1

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A: SOLUTION-

Q: Solve (2Dy + 5)²z = 0

A: We can solve this problem by method of ordinary differential equation

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A: Let us consider the system of homogenous system of equation AX=0 The Solution of system has Zero…

Q: T. Те 20х10- лх107, (15× 10* 5x10°15 х 10-12

A: π×107 = TceTc20×10-125×10715×10-12 π×107 = TceTc20×10-127.5×10-4 Note: 5×10715×10-12 = 7.5×10-4

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Q: Solve the diophantine equation x-4y=45 and give the general solution.

A: The given Diophantine equation is x-4y=45 Comparing the above given equation with a general linear…

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Q: Which of the following equations can be reduced to be a separable equation?

A: I.  2xy-tanydx+x2-xsec2ydy=0 ⇒ 2xy.dx+x2dy-tany.dx-xsec2y.dy=0⇒dx2y-dx.tany=0  Integrate both…

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Q: 3 Find the general solution of i = Ax, where A = -8-

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Q: Discuss the solutions of the Diophantine Equation 201 y° + 2 = 0. 69

A: Given: x201+y9+z51=0

Q: 1. Which of the following Diophantine equations cannot be solved? (a) бх + 51у = 22. (b) 33x + 14y =…

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

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Q: Solve the given equations by crammer's rule  2x - y = 17 3x + 5y = 6

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Q: 10.) If AC= 8x 14 and EC= 2x + 11 solve for x. B A E D

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Q: Solve the fallauig syctem of lincer equation. 27. - 3x, +419-213=-3 i +7%g -5 =6 l6): B4 Dolittle's…

A: The given system of linear equation is                        2x1+0.x2+x3=4 -3x1+4x2-2x3=-3…

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Q: ) Find the general solution to y" – y' – 2y = 3x + 4. (Be sure to find the values of the…

A: i have find Complementary function and particular integral, the general solution is the sum of them.…

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Q: (iv) y = (x³ + 4.x² – x*/3)(x7 + x³ – p³ + 2x – 9). - -

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Q: Find a general solution of each of the following equations.

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Q: The equation x^2 + 3x − 3 = 0 has two solutions A and B where A<B and A=_________ and B=___________…

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Q: Solve the following three equations by Gaussian Elimination: x - y + 3z = 2 2x – 3y + 9z = 3 -x + y…

A: solve

Q: Find Solution AUP : gruen xlo)=2 4 %3D - -3

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Q: Consider the four equations... Equation 1: -x - 2 = 3x Equation 2: x + 17 = x + 2 Equation 3: 2x =…

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Q: Solve the following ODF y+y 2y 2 e2x

A: We have to solve the differential equation.

Q: Solve the following equations 4 a علام 2 +1 ه - @ ( 3 - 2)(x+iy) = 2x - 2iy) + 21 - 1

A: Given (a) z4+1=0 (b) 3-2ix+iy=2x-2iy+2i-1

Q: Vyan+1 + y"/y2n+1

A: The solution is given below in the next step:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.