8. Find the orthogonal trajectories of y cx

Q: 7x – 4xy = C

A:

Q: 4. Find the orthogonal trajectories of the given family of curves. y = cx'.

A: Solution:-              y=cx3 →          1              Diff. w.r.t x            ⇒dydx=3cx2…

Q: 8. Find the orthogonal trajectories of vy = cx

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Q: 8. Find the orthogonal trajectories of Vy = cx

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Q: 2x Find the orthogonal trajectories of the family of curves y = Ce" .

A:

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: determine the equation of the orthogonal trajectories of the following families curves: The…

A: Given that: y2=x3a-x

Q: 2ys = Cx

A:

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: 4. Find the orthogonal trajectories of the family of curves y= Ce“ + 10

A: Here we have to find the orthogonal trajectories

Q: 1) 3 Find the orthogonal trajectories of the family of curves y = 2x+k

A: Please see the explanation below

Q: y = x – 2 + Ce* X-

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Q: Find the orthogonal trajectories of Vy= = CX

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

A: Answer

Q: A:- Find the orthogonal trajectories for functions In -1) = - COS X +a y

A: The given family of curves is: lny-1y=-cos x+a ,            where a is an arbitrary constant.

Q: 8) Find the family Coff esponding to of orthogonal trajectories y=kx".

A: To find the orthogonal trajectories corresponding to below curve.

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: 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 following family: y = Ce-x

A: First differentiate then  solve

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

A:

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

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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 1 curves Y= X + k

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

A: This is a question of the Differential equation.

Q: Find the orthogonal trajectories of the given family of curves. y = (1+C1 x)/(1-C1 x)

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Q: 2: Find the orthogonal trajectories of xy=C.

A:

Q: y6 = C (x² + 1) %3D

A:

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

A:

Q: (4) Find the orthogonal trajectories of the family of curves z +y 2C?, where C being %3D a…

A: Note:-    as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Find the orthogonal trajectories of the family of x² – y? = cx = CX -

A:

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

A:

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

A:

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: 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: E. Find the orthogonal trajectories to the curve y = ax²- acx (s held fixed. %3D where a

A:

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.

A:

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

A:

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

A: Take first derivative and eliminate k.

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

A: Given information : Family of curves :  x2 = 2y -1 +ce-2y

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: 9. Find the orthogonal trajectories to the following families of curves: x = ke¯v, where k is a…

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Q: 8. Find the orthogonal trajectories of CX

A:

Q: determine the equation of the orthogonal trajectories of the following families curves: e^x+e^-y=C1

A: