The orthogonal trajectories of y = ce5" where c is arbitrary constant. is - 2x + 2C = 5y? 2x + 2C = 5y? x + 2C = 5y? -2x + 20 = y²

Q: Find the perticular number or orthogonal trajectories of x2+cy2=1 passing through the point (2,1)

A:

Q: 3x* – 4y* = C

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

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 y = ae" where a be the arbitrary constant.

A: The objective is to find the orthogonal trajectory of y=aex, where a be the arbitrary constant.…

Q: 5Find the Orthogonal trajectories of the family of r=aeº

A: Question:- Find the orthogorial trajectories of the family of r=aeθ ?Solution :- We have r=aeθ -(i)…

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

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Q: i) Find the orthogonal trajectories of the family of curves: y : 1+ x?

A: By Bartleby policy I have to solve only first one as these 2 are unrelated problems

Q: the linearization of (fi,f2) = (x²y+ 3xy², 3x³ + 2xy) at (1,0) to approximate the value at…

A:

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

A:

Q: Find the orthogonal trajectories for the family of curves (enter your solution as an equation)…

A: Nothing

Q: y = x – 2 + Ce* X-

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Q: A:- Find the orthogonal trajectories for functions In -1) = - COS X +a y

A: The given family of curves is: lny-1y=-cos x+a ,            where a is an arbitrary constant.

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

A:

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: 4) Find the orthogonal trajectories of the family of the curves x² = 2y – 1+ ce¯2y.

A: We need to find the orthogonal trajectories of the family of the curve given by x2=2y-1+ce-2y We…

Q: Find the orthogonal trajectories of the following family: y = Ce-x

A: First differentiate then  solve

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: 3. Find the family of oblique trajectories that intersect the family of the paraboles y =cx at angle…

A: given family of parabolas y2=cx at angle θ=60° claim- find the family of oblique trajectories that…

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

A:

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

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

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: Find the orthogonal trajectories of y² = cx³

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

A:

Q: The orthogonal trajectories of y 4az is , where a is arbitrary constant O + = 2c %3D = 4c 2 O y+a -…

A:

Q: The orthogonal trajectories of y = 9ax is where a is an arbitrary constant y + = 4c 2 Oy +x2 = 9 O…

A:

Q: Find the orthogonal trajectories of x^2+y^2−2cy=0

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

A:

Q: a Find the Orthogonal trajectories of the family of r =; 1+coso

A: we need to find the orthogonal trajectories of the given family of the curve in the polar form.

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

A:

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

A:

Q: Find the orthogonal trajectories of the family of curves. (Use C for any needed constant.) x2 + 2y2…

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Q: So x, = c,e +c,e", and x, = 3c,e" +c,e" Sketch the trajectories in phase plane 2 -2 -2 Comment

A:

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 x2 + y? – 2cy = 0

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

A: Curves:  x²+y²=c²

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.