27. Find the exact solutions and simplify as much as possible: 3x = 6x + 2. Show work.

Q: Find the general solution off the following charccteristac eq uation, (m-1) (m+2)-(m-3) (m+u)=0

A: The characteristics equation of the differential equation of the form ay''+by'+cy=0 is am2+bm+c=0.…

Q: When solving Jx² + 4y? = 16 Lx² - y? = 1 %3D by the addition method, we obtain y² = 3, so the…

A: Given that, x2+4y2=16x2-y2=1 And solution is y2=3

Q: Find all the solutions of + 1z10 + 122 +...+11 = 0 to: Hint: What happens when you multiply the…

A: We will find out the required roots.

Q: 28. y" – 3y" – y' + 3y = x'e*. x²e*. %3D

A:

Q: find the solution t-rsec4y= 2qtany, solve by Monges , not reject if you not know

A:

Q: Use an appropriate substitution to solve the equation 7 y y = x20 and find the solution that…

A:

Q: 3x3 = 8 - 2x1 + 2x2 + 9x = 7 X2 + 5x3 = -2

A:

Q: Find the number of positive integer solutions (x, y, z, w, t) to the equation 2x + 3y + 4z + 3w + 2t…

A: Find the number of positive integer solutions x,y,z,w,t to theequation 2x+3y+4z+3w+2t=20?

Q: Q.3 use elimination methed to solve 2. X +2 +3x + 8y =2 2.

A:

Q: Find the solution of y" = 392 et with y(0) = 2 and y' (0) = 8. y =

A:

Q: (7) Find the general solution to y' = (x + y + 1)? Write your final answer as an explict solution of…

A:

Q: 2) Does the equation 2x + 6y = 35 have any solutions where both x and y are whole numbers? Why or…

A: The given equation is  2x + 6y = 35

Q: 5. Use the method of undetermined coefficients to solve (a) y" +2y' + y = x²e¬ª.

A:

Q: solve by bernoulli y' + (8/x)y = x6y4

A: We will find out the required general solution for given Bernoulli's equation.

Q: Solve 2 order DE y" - 12y' + 35 = 0

A:

Q: Find all the solutions of 211 + 1z10 + 1²zº + .+1" = 0 ... to Hint: What happens when you multiply…

A:

Q: 2ty t²+1 – 2t – (2 – In(t² + 1))y'

A:

Q: (d) Solve the IVP if y(0) = ko, y'(0) = k1

A:

Q: Solve the Diophantine equation 21x + 33y = 600. How many nonnegative solutions are there?

A:

Q: In Exercises , solve for y.13. 3^y = 2^(y+1) 14. 4^-y = 3^(y+2)

A: Exponential equation can be converted to a linear equation by taking log of both sides. A linear…

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

A:

Q: If the equation x²+ mx+ n= 0 has two solutions, x = kand x = 2k,what is the value of mnin terms of…

A:

Q: 2. у" + 4у%3D 87 — 201+ 8

A:

Q: To solve the sgstem in the methat of eliminating variables, x+y +Z =2 X +2y-Z =6 2X +y-Z =5 of

A:

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: Show that the following equation 2x5 – x + 4 = 8* has a solution on the interval (0, 1).

A: we have to show the following equation has a solution on (0,1) . For this we can use intermediate…

Q: Show that the equations xp – 4yq = 0 and (32 + 2 +1)(p+q)=x°(x+4y) are compatible and solve them.

A: 1. Two partial differential equations of first order are said to be compatible if they have a common…

Q: Show that xp-yq=z and x^2p+q=xz are compatible and solve them

A: Given   :   xp-yq =z and  x2p+q =xz To find : Solution of Differential equation

Q: (5x + 2)° yo 6x° Solve for x and y. x = y =

A:

Q: b= %3D 2

A:

Q: 2x + 3y = 51 6x + 3y = 87 %3D %3D

A: Given equations are: 2x+3y=51...............(1) 6x+3y=87...............(2) x=9(given)…

Q: How many solutions are there to the equation r + s + t + u + v= 22, where r, s, t, u are…

A:

Q: List the solution: xi = x2 = %3D O x3 = T3 is not needed O x4 = %3D C4 is not needed

A: claim- find the maximum value of f and the set of variables that gives this maximum value.

Q: How many solutions does the equation ||2x – 3| – m| = m have if m > 0?

A: Modulus function is also known as absolute value function. It is represented by |x| where x is any…

Q: A part of jennifer's work to solve the equation 2 (6x^2 - 3) = 11x^2 - x is show below. Given:…

A: The given equation is  2(6x^2 - 3) = 11x^2 - x

Q: Solve for the value of v. 105° (8v+3)°,

A:

Q: solve the sysyem  5x-y+2z=3 4x+5y+7z=26 x+y+4z=3 The solution is, (type an ordered triple)

A: Given equations:                               5x-y+2z=3       ....... (1) 4x+5y+7z=26…

Q: Solve by substitution:  x − 2y = − 134x + 2y = 18

A: Given:

Q: Solve these equations with two unknowns by the method of reduction: 1.- 5x+4y=120 2.- 8x+20y=280…

A:

Q: Use the ADDTION METHOD to solve for y: 2х - у %3D 10 3x + 2y = 8 y = 4 y = -2 y = -4 O y = 2

A:

Q: If AC = 8x – 14 and EC = 2r + 11, solve for x. - В A E C D

A: To find value of x AC=8x-14EC=2x+11

Q: Use substitution to solve the syste –4x+3y -11 y = 3x-7 ||

A: This question is based on solving linear equation having two variables.

Q: Please help me solve this

A: To solve for y

Q: HW. Similarly solve x=fl =47

A:

Q: 1) y" – y' – 6y = 0

A: Given- y"-y'-6y=0 To Find- The general solution of the above differential equation.

Q: approximate with accuracy 10^3 to the solution of x³+x-4 = 0, lying in the interval [1,4].

A:

Q: Determine the number of non-negative integer solutions of equation a +b+ at satisfy the following…

A: Given                    a+b+c+d=41    conditions:                    7≤a≤10, b≥10,c≥8 and d≥10.

Q: Find the complete solution of the DE y"=9x* + 2x –1.

A: The given equation,    y''=9x2+2x-1

Q: solve the sysyem of equations using the method of your choice 2x+12y=30 x+6y=15   (is this an…

A: