Solve the equation on the interval (0; 2t). 1. sin(x)cos(x)- sin (x)=0 T TT 5T b. 2 4 4 a. 0, It, 5TT TT, 4 TI 3TT 7T TT, 4' 4 C. d. 4 4

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Q: Q2- (75 %): Classify and Solve; d?y dy cos? t + cosht + sinh t + sin? t +3 sin t - 3t + 9 %3D dt2 dt

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Q: 2. Solve for y in terms of X for the following equations: a) In(1- 2y) = x b) In(y- 1)- In 2 = x +…

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Q: The position of a moving particle as a function of time is given by: x = (4 - 0.1t) sin(0.8t) Plot…

A: Hi! You have posted multiple questions. As per norms, we are solving only the first one. If you need…

Q: 13) The positions of two particles on the s-axis are s1 = sin t and s2 = sin t+ with sj and s2 in…

A: Solution

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A: Here finds the solution of the given equation by using the Newton Raphson method:…

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Q: I. Obtain the general solution of the following: D. (3D2 + 12)y = tan x E. (D2 − 3D + 2)y = cos…

A: We have to obtain  general  solution of given differential equation.

Q: 2. Find S'and S" for the function: S = + 2t2. Cos(t)

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Q: 4.2 Given g(x) = ) = cos z + sin for 0 <<, find the value of f(x + 1)dg(x). END

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Q: A particle travels along the x-axis such that its velocity is given by v(t) = (t25 + 4t) cos (3t).…

A: The velocity of the particle is given by: v(t)=(t2.5+4t)cos(3t)

Q: 5. Derive the general solution of x cos? y dx + tan y dy = 0

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Q: 3 = 0 in the interval 0° < x < 360° ? 4 15. What are the solutions for sin? - - %3D

A: This is a basic trignometry problem

Q: Final Answer for a1,a2,and az a, =S° - -1dx +- " 1dx = ? 2n-T 2n (1)()(x) 1 | 1 cos- (1)(1)(x) a1 -1…

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Q: Find d²y/dx² of Y= x cos (5x)– sin? x

A: Given: y=xcos5x-sin2x

Q: Obtain the general solution of the following: 2. -z (2- 2) sec'e 3. xdx + sin () Lydx - xdy]

A: 2. The given equation is  dθdz=z(z-z2)sec2θ This can be written as…

Q: solve for y in terms of t or x, as appropriate.

A: Solve for y in terms of x :     lny2-1-lny+1=lnsinx

Q: Complete the table below 1. y= sin x 3n 5n 7n 5n 4n 3n 5n | 7n| 117 2n 2n 6 7 37 4 4 3 3. 4 V3 1/2…

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Q: Given x2 + 15x + 50 f(e) = 1+ cos?(x) At what value of t does the local max of f(t) occur? 0. t =

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Q: 3. Solve for fe)(r) given that f(r)% = sinh(3r)

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Q: Q2/ If the following eq. is exact, then solve it (y cos x + 2xe") + (sin x+ x²e° + 2)y' = 0.

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Q: s+3 is equal to s2 – 6s + 45 | A e3tcos6t В e3t (cos6t + sin6t) © e-3t(cos6t + sin6t) D e3t(cosh6t +…

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Q: de 6) S 7) S(1 – sin? 3t) cos 3t dt 8) ſ tan (5x) sec?(5x) dx cos? e

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Q: Show that the following equation is exact and solve it: (2y sin x cos x - y + 2y² exy²) dx - (x -…

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Q: Q2- Solve the following P.D.E (1 - sin x )U, – Ux = 0 , using the condition , U(0,0) = 4 and U(0,1)…

A: we are solving this using integration. here Uy=dU/dy and Ux=dU/dx

Q: 2. Solve the following completely using MỤC: 18x +2-4 sin(x) dx dx"

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Q: 2n 37 So² S67 (x sin(y) – y cos(x)) dxdy = %3D

A: The given question can be solved as shown in step 2.

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Q: Use the following methods to solve for the root of the equation f(x) = xe* – sin²x Newton Raphson…

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Q: O Find the values x where fe) = t-2 24 cos(2t) has a local min fmax.

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Q: 4. J e3x cot e3x dx. 5. J dx/cos?x. dx 6. S sin? * 2

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Q: Solve the following Riccati equation dy _2 cos? x – sin² x + y² 2 cos x y1(x) = sin x dx

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Q: Find all a and ß for which the function sin(ax)ey solves the equation Uxx + Uyy = 0

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Q: A wall "h" meters high is 5m away from the building. The shortest ladder that can reach the building…

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Q: 2. Prove the following equation is exact and hence find its general solution. (y?sinx + xy?cosx)dx +…

A: Given: (y2sinx + xy2cosx)dx + (2xysinx)dy = 0 To prove that the above equation is exact. We also…

Q: Q2/ If the following eq. is exact, then solve it (y cos x + 2xe) + (sin x + x?e + 2)y' = 0.

A: If the differential equation is given of the form M dx + N dy = 0 then Differential Equations is…

Q: 1 In order to evaluate dx, the correct substitution is V-x²–4x+21 None of these -2 + 5 sin(t) x = -2…

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Q: d. Show that sin ž is exists or not? e. Verify that the derivatives of sinh z. f. Solve the value of…

A: The solution are next step

Q: Q2/ If the following eq. is exact, then solve it (y cos x + 2xe") + (sin x + x²ey + 2)y' = 0. %3D

A: Given : ycosx+2xey+sinx+x2ey+2y'=0

Q: Whic of the following is NOT a solution of 2 sin? t – cost - 1 = 0 if 0 <t < 2n ?

A: Follow the procedure given below.