(4) By computing coefficients cn with center a = 0 establish that In(x + 1) = x − ² + ³ −²+.…... 2 3 4 -

Q: y(6) – 4y®) +6y® - 4y'+y =7

A: Answer

Q: 4. Find L cos t +t² – 3e¬9t + 5

A:

Q: Let z = 8x2 + 7y2, and suppose that (x, y) changes from (2, -1) to (2.01, -0.98). (a) Compute Az. Az…

A: We have to find   dz and delta z and compare the the values.

Q: 2:2 + [3] x + 2 = [0] in Z6.

A: The solution given below with attached file.Explanation:

Q: I. Perform the indicated multiplication on the differential operator D. (xD -8)(xD +3)

A: Solution :-

Q: 4. Find sinh(z − j)dã - fjz-1-3)=6 (2− 1)(2² + 1)²

A: Given: ∮z-1-j=6sinhz-jz-1z2+12dz To find: The value of the integral. Cauchy residue theorem: The…

Q: Prove that : H₁, (x) = 2"- X ********* (*) dt.

A:

Q: - dæ. (x² – 5)1/7 Compute

A:

Q: Show that Q) J3(x)=3J1(x)+4J′′ 1 (x).

A: Given Jnx is the Bessel function which is a solution of x2yxx''+xyx'+x2-n2y=0. We have to show…

Q: Q.3) Find the constants a, b, c, d, e if f(z) = (ax³ + bxy² + 3x² + cy² + x) + i(dx²y - 2y³ +exy +…

A: Given :  f(z) = ax3+bxy2+3x2+cy2+x + idx2y-2y3+exy+y  is analytic. To find : The constants a, b, c,…

Q: 4. (a) If y = A + Bx + Cx2 and yo, yı, y2 are the values of y corresponding to x = a, a + h, a + 2h…

A:

Q: b) (i) Show that dz is a constant independent of z, and R. { Hint : z= Z, + Re"} 1 +- 2z-4 2 -z 3…

A:

Q: Prove BCスツ+)B[スかリック =B(X1y)

A:

Q: Find curl (9z i + 10x j+ 6y k). curl(9z i+ 10x j + 6y k) = ( i )i + (i j +( )k

A:

Q: Differentiate w.r.to "x" y = xsin-1x +x/(1-x3)

A:

Q: 6. Use Green's Theorem to evaluate O (y* – xy?) dæ + (2 – a*) dy where C is shown below. y -2 ² +y²…

A: Green's theorem

Q: Suppose that at ~ WN (0, 1). (a) calculate the ACF of xt = at +0.5at-5; (b) calculate the ACF and…

A: Given We are required to solve part (a) to (d).

Q: Eliminate the Arbitrary Constant: y = c,x² + c2e¬* а. 2(х + 1)у' — (x? — 2)у" — х(х + 2)у %3D0 b.…

A: topic - differential equations

Q: Given that Z = 6x4y+3x³y2 find Zx at the point (2,6)

A:

Q: (5) Let F² = (yz, x² + 3y ², xy + 22). F' is a conservative vector field You do NOT need to check…

A: To find the potential function for the vector field F→=(yz,xz+3y2,xy+2z), we need to find a scalar…

Q: fø(z)= y + ja represents the complex potential for an electric field and x x = 2² + + (x+y)(x−y),…

A:

Q: Find C if r(t) = ⟨et, 3 cos t, t + 10⟩ + C and r(0) = ⟨0, 0, 0⟩.

A: We have given function r(t)   r(t) = ⟨et, 3 cos t, t+10⟩ +C   We have to find the value of C   It…

Q: 5. Compute for the product of the complex coardinates :(3, 1)(3, - 1) a. (2,1) b. (1,1) c. (3,1) d.…

A: The given problem is to find the product of the given complex coordinates, We have to use product of…

Q: Find the following complex function u (x, y) and v (x, y)

A: We have to find u(x, y) and v(x, y) ,    f(z) = u(x, y) + i v(x, y)  We'll get it by substituting z=…

Q: find the general for al soluh'an 3yC3) (e)

A: The given differential equation, y(4)+3y(3)+3y(2)+y'=0

Q: find the differential egations dy √x + 2y = ex

A: As per our company guidelines we are advised to solve only the first question. Kindly repost the…