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

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: Find the orthogonal trajectories of the family of curves y=Ce* +10

A:

Q: find the orthogonal trajectories of the family of curves x2+y2=a2

A:

Q: 3x* – 4y* = C

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

Q: Find the value of the number such that the families of curves  y =(x+c) -1  and y = a ( x+k) 1/3 are…

A: Given,

Q: Sketch, by hand (without using any graphing device), several trajectories in the phase plane.…

A:

Q: 2ys = Cx

A:

Q: Find the orthogonal trajectories of the family of curve y = 3x+c,where c is an arbitrary constant.

A:

Q: y = x – 2 + Ce* X-

A:

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

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

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

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

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: 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 following family: y = Ce-x

A: First differentiate then  solve

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

A:

Q: Find the set of orthogonal trajectories for r = VA sin (2e)

A:

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

A:

Q: 4. Find the orthogonal trajectories of the family of curves y=Ce*™ +10

A: We have to find the orthogonal trajectories of the family of curves

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

A:

Q: (6) Find the orthogonal trajectories of the family of curves y = ax? + 4ax + 4a, where a being…

A:

Q: b. Find the orthogonal trajectories for the family of curves x² + y² =C².

A: we have to find the orthogonal trajectory of the given family of curve

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

A: Given that : y = Ce2x + 10

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

A:

Q: 4. Find the orthogonal trajectories of the family of curves: y = ke* %3D

A:

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: 1. Find the orthogonal trajectories of the given family of curves: Circles through the origin with…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

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

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: 6. y C Sin x

A:

Q: 1. Find the orthogonal trajectories of the family of curve z² + 3y which is passing through (10,…

A:

Q: Find the orthogonla trajectories of the family of the curve r = csine

A: Family of curves: r = csinθ

Q: x² – y² = = CX

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

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

A: Given that, Family of curves is following, y = Ce2x + 10…

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

A:

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

A:

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 x2+y2=a2

A: We have to find the orthogonal trajectories of the family of curves x2+y2=a2.

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

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Q: Sketch, by hand (without using any graphing device), several trajectories in the phase…

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Q: 8. Find the orthogonal trajectories of CX

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

A: