2. Solve the following DEs and PDES:(a) O = 3r + 1af(z.y) = 3r +1(Ь)(c)af(z.y)= Ar + B(d)= 3r + cos(y)3. Solve the following DEs and PDES:(a) e = 3 sin(r)af(zy) = 3 sin(x)(b)af(z.y)(c)Asin(x) + Baf(z.y)(d)3 sin(x) + cos(y)%3D

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Answered: 2. Solve the following DEs and PDES:…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.2: Trigonometric Functions Of Angles

Problem 29E

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Suppose w = 8x² + 2y², X = = 3 cos(t) + 9 sin(t), and y = 3 cos(t) — 9 sin(t).
(b) sin x + cos² y 4 2 P(
(6) Find дл ду : ye+sin(2)=423 (8 points)
Find the expression for Ody dy (cosy²+ siny2) sin 2x - 1 (sinx2+cosx2)sin2y+1 dx 2xcos(x²-y²) - 1 dx 2ycos(x² - y²) + 1 The answer cannot be found on the other choices. dy 2xcos(x² + y²) - 1 dx 2ycos(x² + y²) +1 dy dx dx = given the function sinx² cosy2-cosx² siny2=x+y. sin 2x - 1 sin2y + 1
2. By hand, sketch the following against independent variable t: a) x₁(t) = Re(2e(-1+j2m)t) b) x₂ (t) - Im(3-e(1-j2n)t) 3. Find and sketch the odd and the even components of the following: a) tu(t) b) Sin(wot)u(t)
C) 4 Inx-31-Inlx (12) The value of "sin(5x) cos(3x).dx= A) B) 27
(part 1 of 4) Determine fe when 1. fa = 2. fx = 3. fx = 4. fx = 5. fx = 6. fx = 1. fx 2. fx = = f(x, y) 5.x (x + 2y)² 3y (x + 2y)² (part 2 of 4) Determine fe when f(x, y) = x sin(2y − x) + cos(2y — x). = 4x (x + 2y)² = 3x (x+2y)² 4y (x + 2y)² = cos (2y - x) x sin(2y - x) = x cos(2y - x) - sin(2y - x) 2 sin(2y x) x cos(2y - x) - = 5y (x + 2y)² 3. fx = 4. fx = x sin(2y - x) 5. fx = x cos(2y - x) 6. fx = -x sin(2y - x) 7. fx -x cos(2y - x) 8. fx -2 sin(2y - x) - x cos(2y - x) = 2x - Y x + 2y (part 3 of 4) Determine f when f(x, y) = x cos(x + 2y) + sin(x + 2y). 1. fx 2. fx 3. fx 4. fx = x cos(x + 2y) 5. fx 6. fx 7. fx 8. fx = = 2 sin(x + 2y) + x cos(x + 2y) = 2 sin(x + 2y) - x cos(x + 2y) 2x cos(x + 2y) = 2 cos(x + 2y) + x sin(x + 2y) 2 cos(x + 2y) - x sin(x + 2y) -2x sin(x + 2y) -x sin(x + 2y)
If x*y" + xy +(x? -y3D x>0 V1=x 2sinx and y=y,v. Which of the following equations satisfied by v Select one: a. (x 2 sinx)v" + (2x2 cosx)v' =0 O b. (x sinx)y" + (2x cosx-xsinx+xsinx)v =0 cosx - x 2 sinx+x2 sinx)v =0 C. (x 2 sinx)v" + (2x 2 cosx)v =0 (x 2 sinx)v" + (2x 2 cosx)v=0
Please explain throughly
| sin(2x) 2) +c 2 + cos(2x) da 2
ef cos cos¹ (5x) sin(5x)dx Evaluate + C
Chose the correct answer in linear Q.20

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2. Solve the following DEs and PDES: (a) I = 3r +1 = 3r +1 (c) G.v) = Ar + B df(z) (b) f(z.y) (d) ºG2 = 3r + cos(y)