The family of curves is given by the equation y = Inx". The orthogonal trajectories for these curves may be expressed as: ay“ + x"(alnx + b) = C Find: a + b

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

A:

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

A: Given that: y2=x3a-x

Q: What is the isogonal trajectories cutting at angle of 0= arctan 4 to the family of curves whose…

A:

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

A:

Q: How many horizontal tangent lines does the curve parametrized by the equations z(t) =-4t-1,…

A: on doing derivative we get the 1

Q: Find the equation of the tangent line to the curve ³+y³ = 9 at the given point (1, 2). a. 4x-2y=10 O…

A:

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

A: Answer

Q: y = 3x – 1 + Ce-3x | x = Cey?

A:

Q: Find the orthogonal trajectories of the given family of curves x - 4y c.

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: (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: 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: 2. Find the family of orthogonal trajectories of the given family of curves in the following…

A:

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

A:

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

A:

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

A:

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

A:

Q: The tangent plane to the graph of the function :==3y+1=(1+y} at the point (1; 1; 3/2) contains point…

A: The given equation of the surface is z=x2y+1. Rearranging the above equation gives, w=z-x2y-1 Find…

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

A:

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

A: Note: - you have posted multiple questions. As per our guidelines we can solve only one question.…

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: y6 = C (x² + 1) %3D

A:

Q: Given the one-parameter family of curves y² = Cx³ + 5. Find the family of orthogonal trajectories.…

A:

Q: 4. x*( 4x + 3y' ) = a

A:

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

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: 4. x(4x? + 3у?) -а = a

A: Solution is given as below:

Q: 2y+ In(xy) +z = 6 at the point (4,0.25, 2)

A:

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

A:

Q: 6. y = C Sin x

A:

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

A:

Q: 8. The cissoids, y = x°/(a - x) %3D

A:

Q: 6. y C Sin x

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

A: Family of curves: r = csinθ

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

A:

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: Find the point on the curve y=/2 for which the tangent ine to the curve is perpendicular to the line…

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

A: Given,  ey+2x2=k

Q: Find the orthogonal trajectories to the family of curves: -1).

A:

Q: Find the family of orthogonal trajectories of the given family of curves in the following equation…

A:

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

A: Curves:  x²+y²=c²