2. (35 points) Find the particular solution of the following DE using the Undetermined Coefficient method. "-2y+3y (2x + 3) cos (2) Choose the right answer from the following possible answers: (a) p e4sin x+3 cos z+2z cos z (c) p e4sin r+3 cos -2x cos (b) p 3sin +4 cos z+22 cos (d) None of (a), (b), (c).

Q: Q[K-5]#2: Determine the exact value for the following a) 3Sin 225 b) cos²120+ sin²45

A: a) Given 3sin(225) 3sin(225°)=3sin(180°+45°)We know that…

Q: (b) Use a computer algebra system to find a particular solution of the given equation. Y(t)…

A: As you have mentioned I need to answer part (b) i.e. we need to find the particular solution of…

Q: Show complete solution how you obtained rị and r2 If ri r2 then put r¡ as exponent of the 2nd term…

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Q: (2) Evaluate I cos solution = cos² xdx 1 Hint: Use the half-angle identity cos²x = (1 (1 + cos2x) +…

A: We have given an indefinite integral We have to evaluate the integral.The half-angle identity is…

Q: Find the value of A. (A-B+C) + (2A + B) sin (2y) - (2B - A) cos (2y) = (4 + j3) − (6-j2) sin² (y)

A: Hint: The given equation is A-B+C)+(2A+Bsin(2y)-(2B-A)cos(2y)=(4+j3)-(6-j2)sin2y. Solve the given…

Q: Find all solutions of the following equations. (a) 5 cos(2x + 3) = sin(2x + 3) (b) 20+90 sin (3(t –…

A: According to bartleby guidlines we are suposed to solve only three questions(a) 5cos(2x+3) = sin(2x…

Q: 10. Find the exact value of cos 0- VE+4 (a) E -4 1 (c) (b) (d) (e) none of these -- 3 4 3 2

A: Given query is to find the value of indicated trigonometric function.

Q: by using the triangle method, Show that cos (21an n+1 %3D n2+1 n-1

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Q: (4) = - V2 -1 cos 4

A: Given,            cos-122=-π4

Q: O O 7. The graph of y= = cos x is transformed to y = a cos(x - c) + d by a vertical expansion 76 by…

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Q: Solution: The distance between a point Z and the line L:r=p+tv (defined in terms of its vectors P…

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Q: 7 Express cach of the followir giving only principal values: (a) sin (2 – i)

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Q: 3. Show that the equation 1 + cos(x) – 2sin(=) = 0 has a solution in the interval [0, 7 /2].

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Q: 4 L-1 s3 + 4s (A) [1 – cos 2t] (B) [1 – cos 2t] (C) [1 – sin 2t] (D) 1– cos 2t (E) [1+ cos 2t]

A: Given L-14s3+4s

Q: (eot – e2t 7. (entry #22)

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Q: - + -1 F 3bs? 2 CS3 ·+· 454

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Q: the following solution

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Q: (b) (i) Given that cos.x=0, show that the equation sin 2x cos x cos 2x can be written in the form 2…

A: As we know that sin2x=2sinxcosx  and cos2x=1-2sin2x

Q: 3) Find the general solutions only of the following higher order ODE by method of undetermined…

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Q: 8. If x * and (cos x)sin² x- 3 sin x +2 2 then find the general solutions of x.

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Q: Find (21) (2₂) if 21 4 (cos 76° + i sin 76°) = 22 2 (cos 59° + i sin 59°) Simplify as much as…

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Q: Find the general solution of y'' + 29y' + 208y = 0 Put your answer in the form y = C1x" e"1" +…

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Q: 2 (cos+ i sin; ) 22 = 3 (cos+ i sin ev The value of z1 = = 31 cOS evaluate: (a). Z1 • Z2 (b) 22

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Q: Find (21) (22) if √2 √2 (cos+ i sin 21 = 3 3 (cos+isin Simplify as much as possible. 1 = 21 ㅠ 12 O…

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Q: ind the general solution : a csc() – y] da + ædy = 0 X CSC x = e (csc + cot ) In (ese + cot ) In =…

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Q: What is an equation for the cosine graph shown below? -135 -90 -45 -11 -10 +9 8/ -7 -6 -5 3 2 1 45…

A: Given query is to find the cosine equation of the function.

Q: 27. Evaluate: cos 2) - sin 6 4 /3 /2 2 2 1 V2 V3 2 2 1 V2 2 None of the above. + |

A: Hence option (c) is correct.

Q: sin x+sin x=1 and pcos" x+q cos" x+r cos x+s cos° x-1- 0 then find the value q+£+qs = ? i = sb ++E…

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Q: 11. Consider the ODE y (8) - 2y (6) - 7y(4) – 4y" : = x 2 cos x + 3 sinx. The auxiliary equation for…

A: