2. Find the family of orthogonal trajectories of the given family of curves in the following equation: x² + 2y = k

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: The orthogonal trajectories of the family of curves y = cx² is A x=ky² B C x²+2y²=k 2x² + y² = k

A: We have to find the

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

A:

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

A:

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 family of curves y4 = kx³. (A) ³ + 3x² = C (B) 2y³ + 2x² =…

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: 1. Find the orthogonal trajectories of the given family of curves: a. y= Ce¯mx; with m held fixed b.…

A: This question is related to family of curves, We will solve it using given information.

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

A: Here we have to find the orthogonal trajectories

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

A:

Q: The orthogonal trajectories of the family of curves y = cx² is (A) 2x +y2=k (B) x²+2y² = k © x=ky² D…

A:

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 r² + y² = 2my where m is a constant.

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

Q: Which of the following is the orthogonal trajectories of the family of curves y^(5) = kx^(4)? There…

A: To find orthogonal trajectories in the curve substitute -dx/dy for dy/dx in the differential…

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

A:

Q: The orthogonal trajectories of the family of curves y= cx2 is A 2x²+y²=k B x²+2y²=k © x=ky? D x²=ky²

A: Given family of curves is y = cx2 We have to find the orthogonal trajectories.

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

A:

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

A: Given that : y = Ce2x + 10

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

A:

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

A:

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

A:

Q: The orthogonal trajectories of the family of curves y= cx² is A x=ky? B 2x2+y2 = k © x2 = ky? x2…

A: The given family of curve y=cx2

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

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: 17. Determine the equation of the family of orthogonal trajectories of the the family of curves…

A:

Q: Which of the following is the orthogonal trajectories of the family of curves y = ax³ ? x³ + 3xy² =…

A:

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

A:

Q: Q.NO.2: a) Find the equation of the orthogonal trajectories of the family of curves. x²y² = 4c²

A:

Q: 6. y = C Sin x

A:

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

A:

Q: 02) Find the orthogonal trajectories for the family of curves given by x²y = k where parameter k is…

A: to find orthogonal trajectory we need to differentiate the equation and then replace dydxby…

Q: Which of the following is the isogonal trajectories of the one-parameter family of curves y(x-a) = 1…

A:

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

A: As per the company rule, we are supposed to solve only one problem with a max of three subparts.…

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: 4) Find the orthogonal trajectories of the family of parabolas y – 3 = c(x + 1)².

A:

Q: Find the family of orthogonal trajectories of the family of hyperbolas x²-4y² =k

A: We need to find the family of orthogonal trajectories of the family of hyperbolas x²-4y² =k

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

A:

Q: (6) Find the orthogonal trajectories of the family of curves r= 5C cos 8, where C being parameter.

A: we have to find the orthogonal trajectory for the given function

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

A:

Q: The orthogonal trajectories of the family of curves y= cx² is A x² = ky? x² +2y² =k В © x=ky? D 2x2+…

A: In this question we have to find the orthogonal trajectories of the family of the curves y=cx2

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

A:

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

A: