The orthogonal trajectories of :Y 6ax is , where a is arbitrary constant y? + x² = 6 + x2 = 2c 2 y? + x? : 2c x2 y? + 2 4c ||

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

A: Given: x2+3y2=c and Px,y=1,2   Now differentiate the given function with respect to x.…

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 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: The orthogonal trajectories of y = ce5z where c is arbitrary constant. is_ O z+ 2C = 5y O -2x + 2C =…

A: Since you have asked multiple questions in single request so we  will be answering only first…

Q: Q-2 Find the orthogonal trajectories of r= asin" 0 where a be the arbitrary constant.

A:

Q: The orthogonal trajectories of r = 5a sin 0 is, where a is an arbitrary constant r = csin 0 O r5 = c…

A:

Q: Which of the following is the orthogonal trajectories of the family of cissoids y² = ? a- y² = C(x +…

A:

Q: Use the linear approximation of f(x) = /2x - 3 about c = 2 to estimate the value of V1.32 Enter your…

A: Given that: f(x)=2x-3

Q: b) Find the orthogonal traJec tories of the families o f r=5acose where la) parameter

A: We have to find the orthogonal trajectories of the families of r=5acosθ where a is parameter.

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: 3. Determine the linear approximation for Vx at x = 5. Use the linear approximation to approximate…

A:

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

A:

Q: Use Euler’s method with n = 2 on the interval 2 ≤ t ≤ 3 to approximate the solution f(t) to y′ = t -…

A: Given, y'=t-2y y(2)=3

Q: Obtain the orthogonal trajectories of xy = C and compute for the positive value of y at the point…

A: Solution

Q: I Applications | Golve por the or tho gonal trajectories y?=4x² (1- cx)

A:

Q: Q 6. Find the orthogonal trajectories of the function y = x + ce-ª, which is passing through (-2, 0)

A:

Q: The local linear approximation of (1- x)2° at x, = 0 is a) 20 - x c) 20 +x b) 1- 20x d) 1+ 20x

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

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

A: Solution

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: 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: 2. Find the linear approximation to h(x) = Vx at x = 2. Use the linear approximation to approximate…

A: The objective is to find the linear approximation to hx=x4  at  x=2 Use the linear approximation to…

Q: a) Find the linear approximation of f(x) = Vx b) Use it to approximate V26.9 at x= 27 %3D

A:

Q: Determine the orthogonal trajectories for x? = ky³. A) 2x2 + 3y2 = c B) 3x2 + 2y2 = c C) 2x? – 3y?…

A:

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: 2: Find the orthogonal trajectories of xy=C.

A:

Q: y6 = C (x² + 1) %3D

A:

Q: Find the linear approximation to h(x) = Vx at x = 2. Use the linear approximation to approximate the…

A: Given: hx=x4 To approximate the values of 34 and 44 using linear approximation of hx. Note: the…

Q: Find the isogonal trajectories to a family of straight lines y= cx that cut the lines of the given…

A: Given that, y=cx.

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

A:

Q: 2. Find the linear approximation to h(x) = Vx at x = 2. Use the linear approximation to approximate…

A: Linear approximation of a function f(x) at x = a is, fx=fa+x-af'a

Q: Find the Orthogonal Trajectories: a.) y6 = C (x2 + 1)

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 = cy² a. y = c¡x² b. y = c1 -2x2 c. y = c, 2x2 d. y = c1-x² e.…

A:

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

A:

Q: The orthogonal trajectories of r = 5a sin 0 is , where a is an arbitrary constant p = c cos 0 r=…

A:

Q: Give the family of orthogonal trajectories of the family of parabolas with vertical axis and vertex…

A:

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

A:

Q: The orthogonal trajectories of y = ce7# where c is arbitrary constant. is O x + 2C = 7y? O -2x + 2C…

A:

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

A: Given curve is y=eax

Q: 2 Find the orthogonal trajectories of r=asin? 0 where a be the arbitrary constant.

A:

Q: Finding the orthogonal trajectories of y? = x² (1 – cx)

A:

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

A:

Q: or f(x, y), find all values of x and y such that fx(x, y) = 0 and fy(x, y) = 0 simultaneously. (Give…

A: Given f(x, y)=5x3-14xy+y3   To Find: All values of x and y such that fx(x, y)=0 and fy(x, y)=0…

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: Find the orthogonal trajectories of x2 + y? – 2cy = 0

A:

Q: ind the orthogonal trajectories of x^3=3(y-c)

A: Given equation of curve  is   x3 = 3(y-c)  we have to find  the orthogonal  trajectories

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.