Find the orthogonal trajectories of x² + y² – 2cy = 0

Q: 1. Find the orthogonal trajectories of the family of curves x? + y2 = cy.

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Q: Find the perticular number or orthogonal trajectories of x2+cy2=1 passing through the point (2,1)

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Q: 3x* – 4y* = C

A: The given equation is: 3x4-4y4=c

Q: (b) Find orthogonal trajectory of x2 - y = K. (Orthogonal trajectories]

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Q: What is the equation of the orthogonal trajectories of 4x + 5y = C? (1) 4х + 5у %3D k (2) 4х — 5у…

A: Given : Equation 4x + 5y = C To find : Orthogonal trajectories for the given equation?

Q: Find the orthogonal trajectories of y = ae" where a be the arbitrary constant.

A: The objective is to find the orthogonal trajectory of y=aex, where a be the arbitrary constant.…

Q: Q-23 (aT trajectories of the families of y? = 2ax, where a Find the orthogonal being a parameter.

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Q: : Find the orthogonal trajectories of the family of curves y4 = kx³. (A) 2y³ + 3x² = C (F) 2y³ + x³…

A: Introduction: An orthogonal trajectory of the family is any curve that cuts each member of a…

Q: Find the orthogonal trajectories of the famil y of curves x'yxy=c where cis constant

A: Given:    x3y-xy3=c      Differentiating by using power rule we get…

Q: i) Find the orthogonal trajectories of the family of curves: y : 1+ x?

A: By Bartleby policy I have to solve only first one as these 2 are unrelated problems

Q: Find the orthogonal trajectories of Vy= = CX

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Q: Find the orthogonal trajectories of the curve x^(2) + y^(2) = c^(2)

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Q: Determine the orthogonal trajectories of the family of electric field lines described by the family…

A: Given    x-c3+y2-c23x-c=x3   differentiate  w.r.t.x    3x-c2+2ydydx-3c2=3x2⇒2ydydx=3x2-3x-c2+3c2…

Q: (6)Find the orthogonal trajectories for the given families of curves 2x2 – 3y = K. Where K is a…

A: We have to find out the orthogonal families of given function Given function   2x2 -3y=K  ;    where…

Q: Find the orthogonal trajectories of the family of curves xy = a where a ≠ 0is an arbitrary constant.

A: Consider the equation: xy=Cy=Cxy'=-Cx2 Substitute the value of C in the first derivative:…

Q: For the family x² + 3y² = c, find that member of the orthogonal trajectories which passes through…

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Q: Obtain the orthogonal trajectories of xy = C and compute for the positive value of y at the point…

A: Solution

Q: 4) Find the orthogonal trajectories of the family of the curves x² = 2y – 1+ ce¯2y.

A: We need to find the orthogonal trajectories of the family of the curve given by x2=2y-1+ce-2y We…

Q: Find the orthogonal trajectories of the functiony x + ce which is passing through (-2,0)

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Q: Find the orthogonal trajectories of the family of curves x when 'a' is the parameter. +y Da

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Q: Find the orthogonal trajectories of the one parameter family of curves ex+e-y=c

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Q: Find the orthogonal trajectories for the families of curves y+x^2 = w where w is a parameter

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Q: SOWE FOR THE ORTHO GON AL TRAJECTORIES y² = 4x² (1-ex)

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Q: Find the orthogonal trajectories of the family of 1 curves Y= X + k

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Q: (6) Find the orthogonal trajectories for the given families of curves 2x2 – 7y = c.

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Q: Give the family of orthogonal trajectories for the equation: y2 = Cx5+5

A: To obtain the family of orthogonal trajectories for the equation: y2 = Cx5+5. Find a differential…

Q: Find the orthogonal trajectories to the family of curves: r=c- (in y -1).

A: Orthogonal trajectories can be find in the following way: (i) differentiate given family of curves,…

Q: Give the family of orthogonal trajectories of y^2=Cx^5+5.

A: To find →Family of orthogonal trajectories of y2=cx2+5 -1

Q: Find the orthogonal trajectories of y² = cx³

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Q: Find the orthogonal trajectories of Vy = cx = CX

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Q: [1] Determine the orthogonal trajectories of y(1+2x²)=ax.

A: The given equation is:y1+2x2=axy=ax1+2x2              ..............(1) Determine the orthogonal…

Q: (4) Find the orthogonal trajectories of the family of curves z +y = 20C?, where C being %3D a…

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Q: 2. Find the orthogonal trajectories of the family of curves x2 + y² = 2my where m is a constant.

A: As given equation of curve is: x2+y2=2my Differentiate it with respect to x:…

Q: Obtain the particular solution for: 2y" +2y=2sinx y(0)=0, y'(0) =1 By using method of variation…

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Q: Find the Orthogonal Trajectories: a.) y6 = C (x2 + 1)

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Q: Find the orthogonal trajectories of x^2+y^2−2cy=0

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Q: SOLVE FOR THE ORTHOGONAL TRAJECTORIES X'(3k-x) - ky = xy

A: Take first derivative and eliminate k.

Q: Find the orthogonal trajectories of the family of curves. (Use C for any needed constant.) y = 19k

A: The objective of the question is find the orthogonal trajectories of the family of the curves.

Q: Find the orthogonal trajectories of the family of curves x3y-xy3=c where c is constant

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Q: Find the orthogonal trajectories of the family of curves. (Use C for any needed constant.) x2 + 2y2…

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Q: Find the orthogonal trajectories of a system. x'y2- 2xya + a2 0 %3D

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Q: find orthogonal trajectories of   x2+(y-c)2=c2.

A: x2+(y-c)2=c2 now differentiating both side with respect x , we get 2x+2(y-c)dydx=0 or, dydx= -x(y-c)…

Q: 8. Find the orthogonal trajectories of CX

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Q: 8. Find the orthogonal trajectories of y cx

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Q: Find the orthogonal trajectories of x2 + y? – 2cy = 0

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Q: ind the orthogonal trajectories of x^3=3(y-c)

A: Given equation of curve  is   x3 = 3(y-c)  we have to find  the orthogonal  trajectories

Q: Find the orthogonal trajectories of the given family of curves x^2 + y^2 = c^2. *

A: Curves:  x²+y²=c²