Q.2: Solve the following determinate. Then, simplify the complex numbers to find x and y values (the separated real and imaginary value). (Note: Check the answer by the calculator) log x V-1 In 1 In Vx 1 In x2

Q: Find a formula in terms of k for the following determinant: 7 -9 –10 det k -2 -6 =0 4 -5 0

A: Finding the value of K

Q: Solve for all possible values of the real numbers z and y in the following equations. 35. +iy =3i-4…

A: A complex number is a number that can be expressed in the form a+ib, where a and b are real numbers,…

Q: Solve the following: (i) x - y+ 4z = 0 2x + y - z= 0 -x- y+ 2z = 0 (ii) x + y + z = 0 x - y + z = 0…

A: i)x-y+4z=02x+y-z=0-x-y+2z=0ii)x+y+z=0x-y+z=0x-y-z=0

Q: Compute the following determinants. Q1.1 Compute -7 1 0 -3 -8 0 3 det 3 2 (Enter the numerical value…

A:

Q: 14. Solve the following equation for all value(s) of r. x+1 1 28 x-3 x+4 x²+x-12

A:

Q: 5: The real values of x and y for which the equation is (x + iy) (2 – 3i) = 4 + i is satisfied, are

A: Introduction :

Q: If the determinant is equal to zero solve for x. * 3 1 1 1 ol (i) 3 4 -30 1

A:

Q: If (r- 1)2(r + 1)? = 0 is the auxiliary %3D equation of the homogenous D. E. with constant…

A: We will find out the required order for given homogeneous differential equation.

Q: Find the general solution of the following DE in explicit form. y' =2+2/y-2x+11

A: Solution: The differential equation is y'=2+2y-2x+11 Suppose that v=-2x+y so that y=v+2x Then,…

Q: Find the general solution of the following DE in explicit form. y'=2+2y-2x +8

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Which of the following characteristic equations is primitive ? Select one: а. х3 + 1 b. х3 +х+ 1 С.…

A: Option B is correct...

Q: sin x cos x 1 - sin x 2 sin x 2 cos x Зcos x -1

A: Here given D=sinxcosx1-sin x2sinx2cosx3cosx-1

Q: - 3)²y" (x) - 3(x-3)y'(x) + 3y(x) = 2(x-3)^e², x > 3. Verify that y₁(x) = (x-3)³ is a particular…

A: Given the differential equation: x-32y''x-3x-3y'x+3yx=2x-34ex To find the solution of above…

Q: Solve the following determinate. Then, simplify the complex numbers es (the separated real and…

A: To calculate the value of determinate.          logxx-1ln1x010lnx1ln x2

Q: Q.2: Solve the following determinate. Then, simplify the complex numbers to find x and y values (the…

A: Our aim is to solve the determinate, then simplify the complex number to find real and imaginary…

Q: Determine the general solutions of the following 5. (D3 – D2+ D– 1) y = 4 sin x non homogenous…

A:

Q: :- -b where a and b are positive real numbers, The matrix C %3D a V3 2 and C2. V3 2 m+n TC can be…

A: The given problem is to find the value of cos(π/12) that can be written in the given form using the…

Q: Consider three systems s1 s2 s3 as responses to a complex exponential input e ^ j5t are specified…

A: Given the three systems s1,s2 ,s3 as a response to a complex exponential input ej5t. Such a that…

Q: Find the general solution of the following DE in explicit form. y'=2+2/y-2x +7

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Ex. 620. Given the 2x2 Matrix A 1 2 11 1 Determine B=inverse(A), det=determinant(A), and tr=trace(A)…

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

Q: 2 In x 1 e* 2 2. 1 In 2x -1

A:

Q: Find the extreme values, if any, of the following four functions. Check whether they are maxima or…

A: Hi! You have posted multiple questions. As nothing is specified(only 1, 2, 3 is written), we will be…

Q: 4. Find the value of x, from the following determinant: |2x 2 3 1 -1| %3D бх2 — 10 -2

A: Since we answer only upto one question, we are answering only first question. Please specify the one…

Q: Find a formula in terms of k for the following determinant -3 10 –1 det 3 k 10 =0 -1 10 7

A: Given query is to find expression in terms of k.

Q: у" + 2y' + 3у 3D 0

A: We need to find the general solution of the differential equation y''+2y'+3y=0

Q: Q.2: Solve the following determinate. Then, simplify the complex numbers to find r and y values (the…

A: Find the determinant oflogxx-1ln1x010lnx1ln x2

Q: Solve the following homogeneous ODE 3. y' = 2ху y² –x²

A: Given: dydx=2xyy2-x2...1 Let, y=vxSo,dydx=v+xdvdx

Q: Solve for x (to four decimal places) in each of the following. a) x (0.25) logs(125) og c) )1…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: Solve the following homogeneous ODE y- бу + 9у %- 0 with the following initial conditions y(0) = 0…

A: To solve the given differential equation

Q: Find a formula in terms of k for the following determinant - -3-4-6 det -1 8-9-0 k -1 3

A: We have to find a formula in terms of k for the following determinant:

Q: 02: Solve the following determinate. Then, simplify the complex numbers to find r and y values (the…

A: The given determinant is: 5b-6ai-1(-xi+y)ab i-1002a-3bi0x-yi

Q: Find the general solution of the following DE in explicit form. y' =3+2/y-3x +12.

A:

Q: + Solve the following determinants:- |1 1 ! 2 3 - 2 1 0 1 2 3 - 1 7 10 2 1 3 2 1 0 0 3 2 e) 38

A:

Q: Find a formula in terms of k for the following determinant: 5 5 8 det 3 -6 6 =0 -6 -1 k

A:

Q: 18. Find the determinant of 5 1 4. 1 -2 -3 1 1 1 -4 LAF 2260

A: Given

Q: Find a formula in terms of k for the following determinant: |1 8 1 det 9 -4 7 =0 0 k -9

A: To find the value of k using determinant of the given matrix.

Q: Find the general solution of the following DE in explicit form. y' = 4+2/y -4x +5

A: To find: The general solution of y'=4+2y-4x+5. Concept used: Power rule of differentiation:…

Q: If L(x)=mx+b is the linearization of the cube root of 3x+1 at x-333, then b= Enter your answer as a…

A:

Q: Note that equation (2.29) corresponds to having pk = k/(k+1). Therefore, %3D k-1 k-1 i (k – 1)! k! 1…

A: If  pk=kk+1, then we have to show that…

Q: 4- Find e' in the form x+iy if z equals a) 2+ 1/2n i b) 0.5 -1.2i

A:

Q: Solve the following determinants:- 1 2 3 4 0 1 2 3 0 0 2 1

A:

Q: Solve for the determinant of matrix A below. * 3 2 A =|0 1 -2 1 3 4 O 16 O 25 О зо

A: Given matrix is A = 32101-2134

Q: E. Solve the following; y= (1-x)y² +(2x-1)y – x; given solution y=1 y' =-y +xy +1; given solution…

A: Step:-1 Given that y'=1-x y2 +2x-1 y-x; -----(1)  given solution y=1 This is Riccati differential…

Q: Q.4 a. Find : S xsec²(x²)tan?(x²) dx b. Find dx dy (y)? = sin (cos +3x") c. For what value of c the…

A:

Q: Find the following determinant: 0 1 0 1 O 2 0 0 3 1 0 1 4 0

A:

Q: If the auxiliary roots of a certain HLDE with constant coefficients are 0. -1, and 3, then the…

A:

Q: 6.(S.15). Solve the following system by determinant methods (Cramer's Rule) 2x1 – x2 – x3 = 1, x1 +…

A:

Q: 1 1 3 12. Find cofactor C22 of | -2 2 1 0 1 1

A: Minor of an element in a matrix is defined as the determinant obtained by deleting the row and…

Q: Q2: Solve the following determinate. Then, simplify the complex numbers to find x and y values (the…

A: To calculate the determinant: 8−6i2i3−4i025∠45−1−3i19eπ24