) Consider Hhe following system ち-1 a) find the equl, brium points Hhe nonlinaar kn b) plot phase porfrait of the ptam bazd en Linear, zation based

Q: Ex: Given the periodic lenchon o< ×<ス 2くメく3 Frd the Fourier ser.es of finy

A:

Q: b) Golve: 4x°y*+4x°4- sx y' + 24= 60x?+8x +1 on Co,00) (2) vsing the Method of Uaniation of…

A:

Q: The value of cos8n from the unit circle is (0,1) t (1,0) (-1,0) (0,-1) a) 0 b) 1 c) – 1 d) undefined…

A: Folow 2nd step.

Q: Solve the radial wave in R³ with inithal data ger) =4-p², Ycr)=0 equation u= Au

A: It is given that

Q: Question 11) Find I = CW 1 z- 를 흘리고, 12-1 = secup), 플<<풀,ccw -dz, c:|z-1|

A: We use Cauchy's Residue theorem to solve given integrand.

Q: If A is the top half of a unit circle a^2+b^2 = 1, b ≥ 0 and this is oriented counterclockwise.…

A:

Q: answer each question by true or false and explain 1) L{t * e³t} = L{te³t} 2) L-¹{L{t* et}} = t * e³t

A:

Q: How many common points does the parabola y=x2-2x-2 have with the straight line a) y=2x-6; b) x-…

A: Solving two equations

Q: Consider the three basic vectors: (2,1,0,-1),(-1,1,1,1),(2,7,4,1) a. give two vectors that are in…

A: Given the three basic vectors:                           (2,1,0,-1),(-1,1,1,1),and (2,7,4,1) We have…

Q: Find the d. c. of T from definition.

A:

Q: 22 Calculate the value of the integral over the following c curves, a) C:l2+1| =1 c) Cil2+il = 1.4…

A: As per barlteby guideline for more than one question asked only first three are to be answered…

Q: 9. The two complex numbers V and W represent two reactances connected in series. Calculate the total…

A: Complex numbers are Which represents the reactance connected in series.To Find:Total reactance."As…

Q: log, 12 log, 11 log, 5 log, 27) 2 2 2 2 A) log, V4620 s". 12 C) log, B) log, (12 - s' . 11') D) log,…

A:

Q: V (o)=0 VG) If B=0 = • Asin Bix VG-C)=√₁₂ = V₂ - Asin BL Asin BL A = -√₂ Sinßl Ta=jV₂ Prove -j Vs…

A:

Q: c) A pole of order 4 at zo = 4; -1 with residue 5, and a simple pole at Z₁ = -i with residue. - 3/

A: (i) A zero of a meromorphic function f is a complex number z such that f(z) = 0. A pole of f is a…

Q: 7 xsiny dx + Cx²+1)cosy dy = 0, yC)=TT/2

A:

Q: 7.) Solve а) y'+y'-by=0 6-) у"-ну' +13y=0 с.) у" -бу' +ац=0

A:

Q: A fence is to enclose a rectangular possible from with area of 400 square meters if P(x) is the…

A:

Q: 1 -3 37 75 O matrin, A= 3 Find A* -- 3 -6 4 diffene

A: We will use the basic knowledge of matrices and the system of ordinary differential equations to…

Q: Sketch the dijferential equation de ト(是+Co) dt ) Determine all the equi librium pointls) b) Use…

A: The sketch of the differential equation dθdt=1-2222+cos θ⇒dθdt=12-22cos θ is the following.…

Q: Suppose, X0- Binom(m,0)and 0~ Beta(a, B), then E(X) is equals to, a) maß b) aß ma c) d) me

A: Given: Suppose,  Xθ~Binom(m,θ) and θ~Beta(α,β)

Q: answer each question by true or false and expla 1) L{t * e³t} = L{te³t} 2) L-¹{L{t * et}} = t * e³t

A:

Q: 3. Find the residues of the functions 1- cosz а.) b.) c.) z'e at z=0; .5 e -1 and express the types…

A:

Q: What is the smallest number that can be represented as the sum of four positive squares (not…

A: Consider the given statement. Since we need to find a number, which is the smallest number of sum of…

Q: Pपा+ with a focus at co,-1) 'and directrix y=l

A: Vertex will be the midpoint of y=1 and (0,-1)  That is (0,0) So, (h,k)=(0,0)

Q: -8 31.sec (x-y) if csc x=513 and kay="1/5

A: We know, sec(x-y)=1+secxsecytanxtany

Q: Find the equations of the reflection in the line y=x+1. a) x' = y - 1 , y' = x + 1 b) x' = x - 1 ,…

A: Given: Equations of the reflection in the line : y = x + 1

Q: COS C30) =4 CCOSO) 3_ 3cos CG)

A:

Q: Detemine the lineality over a full langth in the a-direston of he wave Sine Curve y- Asina

A: We know that the wave length of y=A sin x is 2π.  Note: The linearity over a full wave length of the…

Q: 3. Prove that the system =r+y-y' has a unique limit cycle. HINT: Convert to polar form. Show and use…

A: As per the question we are given a second order nonlinear dynamic system. And we have to prove the…

Q: Find the bases af ths four fundamental Sudspores of the matria A | 3 4 09 NCA)- basis NCAT) = R…

A:

Q: Q.9 Find f-7 parametrie efueten of the Jine through and f-8 Use Y for the parameter

A:

Q: Find the cosine of the angle between A and B with respect to the standard inner product on M22. 4 52…

A:

Q: -3 8x°y² ' 12x'y* 6.,2 4 17m m m+5 5х-2 13 - x(x-7)

A: To find the LCD

Q: Section 17.4) Evaluate (a) Line integrals (b) Green's Theorem fy y dx + y dy where C is the circle…

A: