z= - 3i is a solution of z2 +3i = 0 z2 - 9 i = 0 z2 +9 = 0 z3 +3 =0

Q: Which is NOT a solution of V2- i ? C. -0.4717 + 1.2196i D. -0.8204 – 1.0183i A. 2.2094 0.3442i B.…

A: To find the nth root of a complex number we have to use de'Moivre's formula :…

Q: i- 1 X1 104 0. X2 %3D Find the nontrivial solutions for 2 3 8 X3

A: Please refer the attached image for complete solution.

Q: Find the general solution to y''-1=0

A: y''-1 =0y'' = 1y' = ∫1 dxy' = x + By =∫(x + B) dxy = x22 + Bx + A

Q: Find the general solution of (D² - 5D + 6)y = 4eˉˣ

A: Given: The equation is D2 - 5D + 6y = 4e-x.

Q: Find the general solution of y'' + 9y' − 10y = 0.

A: Given the differential equation is  y'' + 9y' − 10y = 0 Find the general solution solution of the…

Q: Show that r =1+i, x2 = 1- i is a solution of (3+ i)x1 + (1+ i)x2 = 4 + 4i

A: The solution is given as

Q: z= - 3i is a solution of z2 +9 = 0 z2 -9 i = 0 %3D z' +3 = 0 z2 +3i = 0

A:

Q: With Solution) Find the particular solution of xy' - 2y = -x ; when x = 1, y=5 a. y = x+4x² b. y =…

A:

Q: Find the general solution of x'1 = x2 - x1 + t, x'2 = x2.

A: The given differential equation are - x'1 = x2 - x1 + t   and   x'2 = x2 We can re-write the…

Q: Find all solutions of the z2 + 2z + (1 – i) = 0.

A: we have to find all solutions of the z2+2z+(1-i)=0 .

Q: 4- IP yCH) is th eu Solution of y-2ye4 y CH) = ? yCo)-1 then. a-3et +2 6-3-2 c- 22-3 .

A: Solution: The objective is to find the solution to the given differential equation

Q: i. y = xv iii. x²-4 %3D х+3 y =

A:

Q: z=- 3i is a solution of z² – 9 i = 0 z3 + 3 = 0 z2 +9 = 0 z2 + 3i = 0

A: Given: z = -3i   To find: The given z is solution of which polynomial from the given polynomials.

Q: 30. Discuss the behavior of the solution of x" – x + 3x² = 0, x(0) = 0, x'(0) = 1. %3D %3D

A:

Q: Q1// Solve by Graphics the mathematical model Маx Z 3D 3x1+ 2x2 s.t -х1 + 2x2 s 4 Зx1 + 2х2 S 14 х1-…

A:

Q: 1. Given the simultaneous equations below: ix, – ix2 = -2 2x1 + x2 = i Solve by the Gauss-Jordan…

A:

Q: (2х + Зу + z %3 —1 Зх + Зу + z % 1. (2х + 4у + z %3 —2 III. Give the solution of

A: We need to solve the given system of Equations. The solution is explained below.

Q: -3 2 Let A = -2 Find the general solution of ' = A. 1 |

A:

Q: (ii) Solve z2 + (2 + 2i)z + i = 0

A:

Q: 23. Find the general solution of x (x 2)y" – (x? – 2)y' + 2(* - 1)y = 3x²(x 2)°e*, %3D

A:

Q: All solutions of the equation z* – 16 = 0 are - z = 2i, z =-2i Ob. z = 2, z = -2 z = 1, z=-1, z=-i,…

A:

Q: x1 and x2 are the solutions for x²+2020x+1=0 y1 and ye are the solutions for y²+2021y+1=0 find the…

A:

Q: Find the general solution of y′′ + 6y′ + 13y = 0

A:

Q: 3) Solve the IVP. y" + 2y" – 5y' – 6y = 0, y(0) = y'(0) = 0, y"(0) = 1

A:

Q: z = – 3i is a solution of z² + 3i = 0 z³ + 3 = 0 z² +9 = 0 z² – 9 i = 0

A: We need to find z =-3i is a solution of which of the following equations given below.

Q: Find the general solution of x^2 y′′ − x y′ − y = 0

A:

Q: 10. Find all real solutions to the equation V2x - 1 = 1+ ν2α+1.

A:

Q: 3. (a) Solve the general solution 1-3x2 y 1 (i) y' + %3D Lx(1-x²). 1-x2 (ii) y' + 2y = x³e-2x %3D

A:

Q: y-1 Find the general solution of y' 2(x+y+1)

A:

Q: V 5x + 17. 23х-5 W U 37x+5 Solve for x.

A: Given data: An angle ∠V=5x+17, ∠L=23x-5 and  ∠K=37x+5.

Q: Select the solution(s) of =1- a +3 T = -5 x = -1 T = 3 r = -4 x = 0 x = 4 T = -3 x = 1 T = 5 I= -2 I…

A: The least common denominator of all the fractions in the equation is . We need to multiply to both…

Q: 3. Find the general solution of y" + 14y' + 49y = 0.

A: Given that  y"+14y'+49y=0  To find the general solution

Q: Solve for x and y simultaneously 6-2x = 6xy+7y²=0 and 3-2x-3y=0

A: The given equations are 6-2x=6xy+7y2=0 and 3-2x-3y=0 So from the 2nd equation we get x=-3y+32…

Q: - 1 3 x': 5 - 3 *** 1 1 - 2t 5 The particular solution is x, (t) = and x2(t) = .

A:

Q: 1) Hs] Solve the IVP: y" – 8y + 16y = 0, y(0) = -3 and y (0) = -1. %3D |

A: Use homogeneous differential equations to find solution.

Q: a'z Q.4 Solve a'z Z. -2- 2e +3x'y

A:

Q: 2x2y'' + 3xy' - y = 0 , x>0   y1(x)= x1/2 and y2(x)=x-1 Please verify that I have solution.

A: Differential equation.

Q: Solve z? – 2z+4 = 0. Let u and v be the solutions of z? – 2z +4 = 0, then: A. u = -1 – iv3 and v =…

A:

Q: 2d) Let a E R find the solution of y' (x) – ay(x) = 0 2e) use 2d) to find a solution of the equation…

A:

Q: 9 -4 2 x' = X = 14 -9 The particular solution is x, (t) = and x2(t) = -

A:

Q: Solve the equations by Gaussian elimination:  5x – 6y +3z = 50 -x +4y = 10

A:

Q: z=-3i is a solution of z2+9=0 z' +3 = 0 z² + 3i = 0 z² - 9 i = 0

A: Let z is a complex number. We can represent as z =a+ ib. Where  i=-1

Q: 1. Find all solutions of the equation z2 + z +1 = 0.

A: Explanation of the answer is as follows

Q: divide 3+2i / 5 - i     use the elimination method to solve the system  3x+2y=11  -x + y= 3…

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

Q: 3i is a solution of z2 - (1+ i) + (2 + 2i ) = - i %3D

A: False

Q: iv) Ym = -0.2Y; Yo =19 v) Ym - 3Y= 10 Yo =11

A: This is the problem of the difference equation.

Q: 7. Find the solution of y' -= a. y = ce x - 3 y = ce*+; — се х 3 с. у%3D сех 3. d. y = 1 — сех +. 3…

A:

Q: ii. Find all solution of z+2z +1+i =0 .2

A:

Q: 1 2 -1 -2 Find the solution of X' = AX, where A= 1 0 X(0) = 1 1 4 -4 5 10

A: Solve system of differential equations

Q: Example 3.32. Solve, by Relaxation method, the equations : 9x - 2y + z = 50; x + 5y – 3z = 18; - 2x…

A: We have to solve  the given equations by Relaxation method.