verify that wxy x/x + y) yze* + (1/xy) + If w = u+vr2 3uv23, find wur- If v = y In (x2 + z4), find v - If w x2/? + z), find o³w/oz oy2.

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A: Solve Cauchy Euler differential equation

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A: Given,        w=z3ln(zy)ex2y3z4

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

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A: Solution: As per the guidelines first three parts should be answered.

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A: To Prove YZ=WX

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Q: 2. Evaluate 22 - iz dz, where the contour C goes from z = 1 to z 2 to z = 2+ 3i.

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A: Given,                  ∂2u∂r2+1r∂u∂r+1r2∂2u∂θ2=0                             (1)with u(r,0)=0,…

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Q: ) s how that the line af intersection f the Planes X+2y-22%= 5 and 5x-2y-Z=0 is Paraliel to theline…

A: Solution is written in below steps.

Q: az dz Let z = ex*y ,x = Vuv, y = 1/v. Find = Vuv,y = 1/p. Find ди av

A: NOTE: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

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A: * Given that y = x+1x-1pa dydx = px+1x-1p-1ddxx+1x-1    dydx = px+1x-1p-1x-11-x+1.1x-12   dydx =…

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A: Consider ∫Cfzz-α2+β2dz=∫Cgzdz Where C is a contour as shown in the figure gz=fzz-α2+β2 Poles of gz…

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Q: az and ди az Given that z = exy, x = 2u + v, y = , find (using chain dv rule).

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Q: I ntegrate: Sv V v+2dv HIN T: If u =x+Q, then × = U-a

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Q: Q5: ди ди ди and dz p-q a. Find for u = if p = x + y + z ,and q = x + y + əx' əy q-r z, and r = x+ y…

A: Consider the given values. p=x+y+zq=x+y+zr=x+y-z And, u=p-qq-r                          (1)

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A: Topic = Determinants As per guidelines , only one question can be answered out of different multiple…

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Q: where: %3D Solue ulX, o)=2 X •a u (0,t)=o 1 ノ

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Q: Let f(x, y, z) = x arctan z. Then solution.] af Əzəy (2,3,1)= a In 2 where a = [Show

A: Find the value of a