Given that (a,7) is a solution of the simultaneous equation: 3x - y = 8 bx2 - xy + 9 = y2 (a.) Find the a value of a and b. (b.) Find the coordinates of the other solutions

Q: 6+: 2. y = . +3 y%3D = -8 3D3 2. y = x +8 x – 2y = 18 2r + y = 6 %3D D

A:

Q: For Exercise, find three ordered triples that are solutions to the linear equation in three…

A: Given,

Q: Find solutions to the equation 2x+3y=6 for the values x=0, y=0, and x=−3.

A:

Q: Q5) Find and plot all solutions of the following equation z2-4z+8iz 3+8i

A: A complex number is plotted in the Argand plane. In this plane, the horizontal axis is the real axis…

Q: Find the general solution of the difrential equation (D² – 4D +3)y = e²cos3x.

A:

Q: Solve for y, given y' (4x + 3)(y +1) and y(1) = 0. %3| Do not include y in your answer.

A:

Q: y = -4x – 1 8x + 2y = 14 %3D %3D

A: Given: y = -4x - 18x + 2y = 14 To find: After solving this equations the lines are parallel,…

Q: The two legs of a right triangle are t and u. The hypotenuse is v. Solve for t in terms of the other…

A:

Q: Find the solutions of the equation in the interval [-2n, 2n]. csc(x) = V2 %3D

A: Since you have asked multiple questions, we will solve the first question for you . take…

Q: Obtain the solution of the following equations. 1. (1 – x)y' = y2

A:

Q: Solve of the following Clairaut equation y=((x+4)y')+(y')^2

A:

Q: Find a solution to the linear equation y=2x+6 by filling in the boxes with a valid value of x and y.

A:

Q: Solve the following equations  by the method of undeterminedcoefficients. y" - 3y' - 10y = -3

A: The given differential equation is y''-3y'-10y=-3. The auxiliary equation of homogenous part of the…

Q: ind the missing coordinate to complete the given​ ordered-pair solution of y=3x−6. ​(−3​,?)

A: The solution is :

Q: b) Solve the given equation by method of undetermined coefficient y" + 3y" + 3y' + y = 30 e-*, y(0)…

A:

Q: -9x + 12y 24 y%3D 4 x-5 = -

A: Given -9x+12y=24y=34x-5

Q: 3) Solve dAfferentral equation.(b and the variables ) are (D2+ 4D+3)b = 1+ 2g +3a ²

A:

Q: Solve and write down the general solution of the equation, xyz – pxy = x²z – qy?

A: In this question, we have given a partial differential equation. xyz-pxy=x2z-qy2 To find the general…

Q: Solve the given differenial equation: 9y''-12y'+4y=0

A:

Q: Solve the following equations  by the method of undeterminedcoefficients. y" - 3y' - 10y = 2x - 3

A: The solution equation is obtained by the equation y=yc+yp Take the characteristic equation of the…

Q: fy" + (1 + 2 €) y ² - 2y = 0 > (1)

A:

Q: Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS.  (1−x)y′= ?2

A: (1 - x)y' = 2 y' = 2/(1 - x) dy/dx = [2/(1 - x)] dy = [2/(1 - x)] dx Integrating : y = 2 ln(1 - x) +…

Q: Solve for (x,y) in the following two equations  {(x+6)/5} - {(x2y)/10}=1     (1)…

A: Given,

Q: Find an ordered pair (x, y) that is a solution to the equatic 2x-y%37

A:

Q: Solve the given diffential equation by undtermeined coefficients: y'' + y' - 6y = 12x

A:

Q: Determine the coefficients of the equation y=ax'+bx²+cx+d so that it will have critic points at…

A:

Q: Use the method of separation of variables to solve 2.xyU, +2U¸ =0, U(x,0) = 3e4**

A:

Q: Solve the diffrential equation:

A:

Q: Use the method of separation of variables to solve yu, + xu, = xyu , U(x,0) = 3e*

A: In this question, we solve the partial differential equation by using the separation of variable as…

Q: If x, y, z E N, solve the equation: 2 3 = 1 1 || | +

A: 1x+2y-3z=1, where x, y, z∈ℕ.

Q: Use an appropriate substitution to solve the equation 9. and find the solution that satisfies y(1) =…

A:

Q: Solve the given differnetial equation by undetermiend coefficents  y'' + 2y' = 2x +7 -e-2x   y(x)…

A: Given:-           The differential equation  is:…

Q: Solve the IVP by substitution. (3x2 - 2y2)y' = 2xy;  y(0) = -1

A: Substitute  x = vy and than solve using method of separation of variables.

Q: Solve the following set of equations by using Gauss-Jordan. Then ONLY write down the value for x-y…

A:

Q: Assume the equation has a solution for y. Py +qy =-4y+8

A:

Q: Using these two equations, what is the equation for x? how about for y? 6x+2xlambda=0…

A: We have to find the equation for x and y for the given equations 6x+2xλ=0 and 6y+2yλ=2.

Q: a) y" – 4y" + 4y' = 0 Find the solution of the equation that satisfies y (0) = Q,

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Given the equation of OA as (x- 2)2+ (y+ 1)2 25 what are the values of h, %3D k, and r?

A: Given,           x-22+y+12=25We know that,           The standard equation of the circle is given as…

Q: y"+ 4y= 1+x+ six

A: The given differential equation is  y" + 4y = 1 + x + sin(x)  To obtain universal solution  y =…

Q: After solving the values of the arbitrary constants, determine the particular solution of (the…

A:

Q: Find the solution using variation of parameters to the diffrential equation (D3 + D)y = sec2x

A: Find the solution using variation of parameters to the diffrential equation (D3 + D)y = sec2x

Q: The degree of the equation y" + xy" + 2y (y') + xy = 0 two one degree does not apply three

A:

Q: The general solution for Legendre equation (4 – x2)y" – 2xy' + n(n + 1)y = 0 is %3| -

A: Given The given equation is 4-x^2y"-2y'+nn+1y=0

Q: Find the values of x and y that makes the equation true: 2x-7+(3-y)i = -4+6i

A:

Q: Which ordered pairs are solutions to the equation x+6y=4?

A: The equation is x+6y=4

Q: What points (x, y, z) satisfy the equations x2 + y2 = 4 and z = 3?

A: Given: x2+y2=4, z=3

Q: Solve for the particular solution, yp- y" - 6y' + 9y = 6x +2– 12e* y(1) = 0; y'(1) = -1

A:

Q: Given the equation: y = (eln x², find y. A In x B 2(In x) / x (c) 2x D 2 elnx

A:

Q: dy , Suppose z and y are variables that satisfy the equation r² – y³ = 12. What is dr

A:

Q: Find the value of b for which the given equation is exact, and then solve it using that ralue of b.…

A:

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.