Find the orthogonal trajectories of a - =1; where 2 is an arbitrary parameter. a + 2

Q: (a) Solve and plot the orthogonal trajectories of the family of lines whose point of intersection is…

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Q: 7x – 4xy = C

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Q: 5. e+ e = C1 %3D

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Q: 3x* – 4y* = C

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

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: 2ys = Cx

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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 the family of curve y = 3x+c,where c is an arbitrary constant.

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Q: (6) Find the orthogonal trajectories of the 3C cos 0, where C family of curves r being parameter.

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

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

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 of the family of curves r= 2C cos 0, where C being parameter.

A: Consider the given curve. r=2Ccosθ          (1) Find the derivative of the given equation.…

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

A: Solution

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 y = 1 - sec?r + C 4

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

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Q: Find the orthogonal trajectories of the family of circles passing through the points (1, −2) and (1,…

A: Given that

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

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Q: Find the orthogonal trajectories for the family of curves. (Enter your solution in the form F(x, y)…

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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 orthog onal trajectories of the circles x+y - ay = 0, where a is a parameter.

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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: 6. Given that k is an arbitrary constant, find the orthogonal trajectories of the following family…

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Q: Find the orthogonal trajectories of y² = cx³

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Q: Find the equation of orthogonal trajectories of the given function 8x² + y² = c.

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Q: 6. y = C Sin x

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Q: 8. Find the orthogonal trajectories of y = cx CX

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

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

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

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Q: Find the orthogonal trajectories of У — сх CX

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

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Q: x² – y² = = CX

A: For orthogonal trajectories, replace dy/dx by -dx/dy and solve it.

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

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Q: (a) Solve and plot the orthogonal trajectories of the family of lines whose point of intersection is…

A: The equation for the family of straight lines y=c x By differentiating with respect of x…

Q: Obtain the orthogonal trajectories of y=Cx^2 and compute for the positive value of y of the…

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

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Q: ind the orthogonal trajectories of the family of curve x2/3 +y2/3 =a2/3 where "a" is the parameter

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

A: Take first derivative and eliminate k.

Q: 8. Find the orthogonal trajectories of CX

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Q: Find the orthogonal trajectories of the family of curves ey + 2x2 = k.

A: Given,  ey+2x2=k

Q: (6) Find the orthogonal trajectories of the family of curves r= 2C sin 0, where C being parameter.

A: See the detailed solution below.