8. Find the orthogonal trajectories of y = cx CX

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

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Q: The integrating factor of the LDE y' = x - 2ycotx is

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

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Q: 3x* – 4y* = C

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

Q: Find the orthogonal trajectories to the family of curves: x² = C-v'(ln y² –1).

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

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

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

A: Given that: y2=x3a-x

Q: (1) Use the linear approximation of Va at x = 9 to estimate the value of v8.7

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…

Q: 5(a) Determine the orthogonal trajectories of the family of electric field lines described by the…

A: To find - Determine the orthogonal trajectories of the family of electric field lines described by…

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

A: Please see the explanation below

Q: (6) Find the orthogonal trajectories of the family of curves r 4C cos 0, where C being %3D…

A: We have to solve given problem:

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

A: Answer

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

A: Orthogonal trajectory curve of a family of curve is defined as a curve which intersects every member…

Q: 1. Find the orthogonal trajectories of the family of curve a2+3y2 = cy ,where c is an arbitrary…

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Q: Find the orthogonal trajectories of x = C exp (-y²). Oy=C*exp(-x) Oy=C*exp(2x) Oy=C*exp(-x^2)…

A: Given problem:- Find the orthogonal trajectories of x = C exp (-y²).

Q: Eliminate the arbitrary constants y Iny = C,e "+ C, X-

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

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Q: Use the method of variation of parameters to find a particular solution of the DE…

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Q: 5(a) Determine the orthogonal trajectories of the family of electric field lines described by the…

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

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Q: The orthogonal trajectories of the families of curve 3x? + y? = a? is

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

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Q: 2: Find the orthogonal trajectories of xy=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: -y 5. e+eY = C %3D

A:

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

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Q: 6. y = C Sin x

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

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Q: x² – y² = = CX

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

Q: 5. Find the orthogonal trajectories for a family of circles tangent to the y - axis and centers at x…

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

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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: Find the linearization of ƒ(x) = 2x at x = 0. Then round its coefficients to two decimal places.

A: Given function is,

Q: 8. Find the orthogonal trajectories of CX

A:

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

A: Given,  ey+2x2=k

Q: 14. Find the orthogonal trajectories of the family of curves 1 y =- (x + k)³ (a) y = (3x+ C)/7 (d) y…

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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.