(a) Solve and plot the orthogonal trajectories of the family of lines whose point of intersection is (o,3)

Q: 7x – 4xy = C

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

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

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

A: Let a family of curves be given by the equation gx,y=Cwhere C ia a constant. for the given family of…

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

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Q: (b) Find orthogonal trajectory of x2 - y = K. (Orthogonal trajectories]

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Q: What is the equation of the orthogonal trajectories of 4x + 5y = C? (1) 4х + 5у %3D k (2) 4х — 5у…

A: Given : Equation 4x + 5y = C To find : Orthogonal trajectories for the given equation?

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 =…

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Q: 4) Find the orthogonal trajectories of the family of curves

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

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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 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: 6. Find the orthogonal trajectories of the family of circles passing through the points (1, –2) and…

A: A Curve is called Orthogonal trajectories if it cuts every member of a given family of curves at…

Q: Find the orthogonal trajectories of the family y = 1 - sec?r + C 4

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Q: Find the orthogonal trajectories of the family of curves x²- y2=C² A) x- y=C (B xy3=C xy=C D…

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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 family of circles passing through the points (1, −2) and (1,…

A: Given that

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

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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: 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: y6 = C (x² + 1) %3D

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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: 5. Find the orthogonal trajectories for a family of circles tangent to the at y-axis.

A: Here we have to find the orthogonal trajectories for a family of a circle tangent to the x-axis and…

Q: Find the equation of orthogonal trajectories of the given function 8x² + y² = c.

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

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Q: Find the family of orthogonal trajectories of the system of circles which pass through the origin…

A: To find  The family of orthogonal trajectories of the system of circles which passes through the…

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

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

A: Family of curves: r = csinθ

Q: The orthogonal trajectories of a + 9 is where a being r = parameter.

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Q: (a) Solve and plot the orthogonal trajectories of the family of lines whose point of intersection is…

A: The equation for the family of straight lines y=c x By differentiating with respect of x…

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

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Q: Q-1 Find the orthogonal trajectories of y = ea" where a be the arbitrary constant. [

A: Given curve is y=eax

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: 5  please answer, type the solution if you can please. or write clearly

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Q: 1. Find the orthogonal trajectories of the family of curve z + 3y = cy,where cis an arbitrary…

A: We will first find the differential equation of the of the given family of curves

Q: 6) Find the orthogonal trajectories for the given families of curve 3x - y = c.

A: To find orthogonal trajectory first differentiate with respect to x then remove constant then put…

Q: 8. Find the orthogonal trajectories of CX

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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: find the orthogonal trajectories of the family ofcurves. Sketch several members of each family. kx2…

A: The given family of curves is kx2+y2=1. Differentiate both sides of the above equation with respect…