Given, 1 y" +-y' + y = 0 x2 Write 2 linearly independent solutions (in the form of Bessels' Equation) www

Q: Q.2. If 7, 1, and r, be the roots of 2x +5x-330, then find: (a) E (b) Er

A: For given cubic equation first, we will find the roots of equation. so we will get real and complex…

Q: Find the following in the form of x + iy ¡2i

A: We have to express the given complex number  z = i2i  in the form  x+iy.

Q: e a) y"+ by 19y x² + 1

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Q: erpolatory divided difference formula to construct an ving data x, = 10 X = 12 1. X4 =14 5. 20

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Q: Veridy that the approximate root of xa2 is: 1+Xn- Xn 2

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Q: It says find x but I’m not sure hot to do that

A: We know that x+80°=(5x)°. So,                 x+80°=(5x)°⇒(4x)°=80°⇒x°=20°

Q: Find a counterexample to Lie's Theorem when k is not algebraically closed and chark = 0. %3D

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Q: ダ= secx Ptove that +イ=243

A: We can solve the problem by the properties of trigonometry.

Q: The roots of a d.e are -1, 2+√3 What is the solution? y = ex(c₁ cos 3x + c₂ sin 3x) + c3 cOS X + C4…

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Q: ᴡʜᴀᴛ ɪꜱ ᴛʜᴇ ᴘᴇʀɪᴏᴅ ᴏꜰ ᴛʜᴇ ꜰᴜɴᴄᴛɪᴏɴ ꜰ(x) = ₄ᴄᴏꜱ ₂π(x + ₃)? ᴀ. ₁ ʙ. π ᴄ. x + ₂ ᴅ. ₂π

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Q: -1 Find the minors and cofactor of A given by 2 -1 1

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Q: Find f. fy. f(1,5), and f,(-3,6) for the following equation. f(x,y)= (Type an exact answer, using…

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Q: Xn+1 axn_b+Yxn-k -1 (xn−b)ª−¹+y

A: Given: The information showing the proof of a specific theorem.To prove: xn+1=αyn-b+γxn-kxn-bq-1+y…

Q: Ex/solve he quations using Gram ers vule 2x -y+3Z= -S X+y-z= - 1 -2x+ 3-2z=

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Q: Example. Compute z/w where z = 2 + 2i and w = 1 – 2i.

A: To compute z/w where z=2+2i and w=1-2i

Q: Shaw that +8e cost+ 9e sint 4.

A: Some of the special formula regarding Inverse Laplace L-11s-a=eat L-11s2+a2=sint L-1ss2+a2=cost…

Q: Perform the indicated operations, and write the result in the form a  bi.

A: 9. Find all real solutions.       a) x2-x-12=0b) 2x2+4x+1 =0c) 3-x-3=xd) x12-3x14+2=0e) x4-3x2+2=0f)…

Q: - Find the zero and its order for the function f(2)=1-Ti+Z+e.

A: Note: If W is the Lambert function then Wxex=x

Q: The only solution to arcsin is - π 4 True O False (- √√2 2

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Q: Solve the non-linear Differential Equation y"=-e xy = f(x) by explicitly following these steps:…

A: Use the following formulae, to obtain the solution.

Q: 6. How many negative real zeros does the function f(x) = 625 - + 8x2 - 20 200 - O O or 2 O 1 or 3

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Q: What is the difference between the minor of an element aij and the cofactor of the element?

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Q: #6. Find 2²+3 (2-4) (2+i) §. #7. Find §- 211 Z(Z-3)² dz dz where C is 121= 2/2. where C is 12-31 =…

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Q: d 4x2 -dw |dw dw tan w. %3D 2x tan(x) tan(2x)

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Q: dz Find if yz – In z = x + y ax

A: To find the partial derivative of z of yz-ln z=x+y with respect x, differentiate yz-ln z=x+y, while…

Q: Name one advantage to using Cholesky factorization to solve Az = b when A is positive definite…

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Q: 3. Consider the function f(t) = 2t? – 3t + 7 on the interval –1 <t <1 with periodicity P = 2 Give a…

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Q: x2 x*(a² + x²)% dx = 1 (a² + x²)7 + C 15 3

A: We use substitution method

Q: 2. Solve x? – 6ax+ 2 = 0, where a>1 is a constant. -

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Q: Given p = -2i- j and ģ= -7i - 8j, find Ip+gl and pl + Igl. Give EXACT answers. You do NOT have to…

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