Ql:- Calculate the expression sec3.42x-5 +In4 cos30)2-4x 2 where x = 2, y = 5. (3tan-145sin(3x)+e-x)3-4y

Q: 3. Differentiate. SET A. y = 3 cos(5x2 + 2)

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Q: 8 +10x-32+x? cos 2x 4 Find : (a) y = %3D x2

A: Given y we have to find dy/dx as shown below

Q: Find L[et tsin(2t) - e-2t+3 +e-2t cos 3t]

A: BY USING THE LAPLACE TRANSFORMATION RULES  WE GET OPTION (D) IS CORRECT OPTION.

Q: -3 Evaluate: ²¹²² ²³ y cos(z³) dx dy dz

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Q: 1. (xy' – y) cos ( 2у COS -3x4

A: Since you have asked multiple questions, we will answer the first question. If you need answer for…

Q: (s,+)=(-3,1) X=5?+2+? y= 6st a) 4s x sinly) + 6+x?coscy) at (-3,1) b.) 8tx Sincy) + 6sx? Coscy> at…

A: GIVEN  (s,t)=(-3,1) X=s2+2t2  Y=6st substituting the value of s,t for X and Y we have  X=(-3)2…

Q: 5. In AABC, m2B = 90°. sin A = 2x + 1.5 and cos C = 3x – 0.9. Find x.

A: Given: In Triangle ABC∠B=90οsinA=2x+1.5cosC=3x−0.9x=?

Q: secx 3 Cos%dyd%

A: The given integral is: I=∫-π3π3∫0sec x 3 cos x dy dx

Q: y" +4y=3te' -3 sint + cos2t based on the method of undetermined coefficients. Do not con…

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Q: Use undetermined coefficients method to solve b. y" – 2y' + 5y = e* cos 2x %3D

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Q: Practice by Evaluating 1 VI-x² cos(a² + y³)dydx 0.

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Q: Find Duf at P. 3 4 f (x, y) = sin(3x – 4y); P(4,3); u = i j %3D - - NOTE: Enter the exact answer.…

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Q: Which of the following is CORRECT for solving f-2x°cosx*dx ? A. Choose u = xcosx? B. Choose u =…

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Q: ze : use the Implicit Differentition to find ax 'ay 1) 3yz2 - e4* cos 4z - 3y2 = 4

A: 3yz2-e4xcos4z-3y2=4

Q: 2z2 cos 5z dz EVALUATE.

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Q: ∫0π/2[√(cos5t) sin5tdt] Hint: intergration by substitution

A: Rewrite the equation Apply substitution u=√(cos5t)

Q: 2) If the secant method is used to solve the equation xe" cos(2x) = 0 in [0.7,0.8] then the vahue of…

A: The given problem is to find the approximate root x3 for the given equation using Secant method…

Q: the solving for equa tion ty=o is 1-y= COSX %3D 2-y= Sin x %3D y= tax

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Q: Determine c1 and c2 so that y(x) = c1 sin 2x + c2 cos 2x + 1will satisfy the conditions y(?/8)= 0…

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Q: The auxiliary roots of the auxiliary equation associated with a certain HLDE are m=±3, ±3i, + 3i.…

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Q: Q2: Solve the DE y' – 4y = sinx.cos2x by undetermined coefficients method.

A: The given differential equation is                                    y'-4y=sinxcos2x  ......(1) The…

Q: (9) y" - 4y + 8y = c²=(sin 2x – cos 2r) CC (10) 13u cor 2

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

Q: Q1:-/ Verify by direct substitution that y, = epx cos qx and y2 = ePx sin qx , are solutions of the…

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Q: I. Eliminate the arbitrary constants -3x y= C, e sin2x + - 3x Cze cos 2x

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Q: Determine c1 and c2 so that y(x) = c1 sin 2x + c2 cos 2x + 1 will satisfy the conditions y (π/8) = 0…

A: Given,y(x) = C1 sin2x + C2 cos2x + 1 — (1)Here we find the value of C1 and C2 such that the equation…

Q: Q2 Q2/If y = (x³ + 5x² + 1)3 + Jsin+/cos³Vtan3x2 find y'

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Q: de B: Evaluate the 2m a-cos20 when z = et and Iz| = 1. %3D

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Q: y' +3.25M?y+ 3MX² = M + 2My' + M cos1.5Mx I Add File y" + M²y = eM* sin /3Mx – 2 – 2My'

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Q: and y = 3 cos 2x for 0s

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Q: 5. (D² + 16)y = 24 cos 4x – 32 sin 4x

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Q: du Given u In[y cos(3x²y)1, solve CoS %3D ax

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Q: Use the method of undetermined coefficients to solve. y" – 3y' – 4y = -8e' cos 2t

A: To solve the given differential equation using method of undetermined coefficients.

Q: 3 6. Show that [[[ y sinzdxdydz = (1– cos1). 2 COS %3D 00

A: We have to prove given integral

Q: 2 cos x = -0.7, 2TT ≤ x < 4T csc x = 2, 0 < x < 2TT sec x = -3, -π ≤ x < T 4

A: Given :cosx=-0.7cscx=2secx=-3

Q: S cos³y sin³y dy 3.

A: Given,            ∫cos3ysin3ydy

Q: Determine c, and c2 so that y(x) = c, sin 2x + c2 cos 2x + 1 will satisfy the conditions y () = 0…

A: Consider the function: yx=c1sin 2x+c2cos 2x+1. Calculate c1 and c2. Given yπ8=0 and y'π8=2.   Since…

Q: ,In sec2(sin2y)dy can be evaluated by writing it as sec2y (A @ In sec2( sin2y) · cos2ydy ®/…

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Q: 4. What is the form of y, given (D² + 9)y = x + tanx? A. Yp = V,sinx + vzcosx B. Y, = v, sin3x +…

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Q: Use Method of Undetermined Coefficients: y" - 2y' + 5y = 4e*cos2x +x?

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Q: Find , if z= cos(3x² + 7y°) O 2x sin(3a? + 7y³) sin(3x² + 7y³) -9x cos(3x2 + 7y°) -6x sin(3x? + 7y°)

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Q: 5sec?x + 12lny + 2e2 = 30 2tan?x - 5ln-+ ez = 11 y %3D 8) 4 + 20 In/y + 3e2 = 33 %3D cos²x

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Q: What is r = -12 2 cos 0-7 sin e 2y - 7x = -12 in Cartesian form? x² + y² = -12 2x-7y

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Q: Determine c1 and c2 so that y(x) = c1 sin 2x + c2 cos 2x + 1 will satisfy the conditions y(pi/8) = 0…

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Q: (a) y" + 3y' – 2y = -e2" (5 cos 2r + 9 sin 2a)

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Q: Determine cı and c2 so that y(x) = c1 sin 2x + c2 cos 2x + 1 will satisfy the conditions y () = 0…

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Q: (D3- D2)y = cos2t a. y, = -cos2t +sin2t 10 20 b. y, = - cos2t -sin2t 10 20 c. p =cos2t- sin2t 10 20…

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Q: Using the Method of Undetermined Coefficients, give an appropriate guess for yp. y(4) + 9y" =…

A: Given the DE is y4+9y''=cos3x+4x2. Guess the particular solution of the DE.

Q: y" + 9y = 81x² + 14 cos 4x; when x = 0, y = 0, y' = 3. %3D %3D

A: Use rules of ordinary differential equation

Q: (2D – 5)y = sin 2x – 7 cos 2x -

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