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

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: 8. Find the orthogonal trajectories of vy = cx

A:

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: 8. Find the orthogonal trajectories of Vy = cx

A:

Q: 3x* – 4y* = C

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

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

A:

Q: 2x Find the orthogonal trajectories of the family of curves y = Ce" .

A:

Q: y" - 6y' + qy 2,

A:

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

A: Given function is y = 6ax, a is the arbitrary constant. We have to find the orthogonal trajectories…

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

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: Determine the orthogonal trajectories y-3x+1=ce 3x

A:

Q: Find the orthogonal trajectories of the family of x² – y² = A. y? = x² + c B. xy = c C. y(6x² – y²)…

A:

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

A:

Q: The orthogonal trajectories of the family of curves r = f(0) is solve by using the following…

A: To find the substitution of the orthogonal trajectories of the family of curves r=f(θ).

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

A:

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

A:

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

A: First differentiate then  solve

Q: Find the orthogonal trajectories of the family of curves x² - y² = (² A x² + y²=C² B) xy=C (C) x-y=C…

A: We can solve as follows

Q: 7x The orthogonal trajectories of y = ce'",where c is arbitrary constant. is 2x + 2C = 7y? O -2x +…

A: Given,  y = c e^(7x)    y e^(-7x) = c then get the derivative   dy/dx e^-7x + y {-7 e^(-7x)} = 0…

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

A:

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

A:

Q: A parabola has the equation y^2 = -4ax. Determine the slope of the orthogonal trajectories. 2x/y O…

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: The family of curves is given by the equation y = Inx". The orthogonal trajectories for these curves…

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

A:

Q: Determine the orthogonal trajectories for x2 = ky³. A) 2x2 + 3y2 = c C) 2x2 – 3y? = C - D1.2

A:

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

A:

Q: The orthogonal trajectories of the family of curves r = f(0) is solve by using the following…

A:

Q: Find the orthogonal trajectories of the family of curves y = ce^x. Select the correct response: x^2…

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

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

A:

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

A:

Q: Find the orthogonal trajectories of y=ce^-mx with m held at fixed.

A: Here, we have to find orthogonal trajectory of y.

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

A:

Q: The orthogonal trajectories of y = 6ax is , where a is an arbitrary constant y? + 22 = 2c + x? = 2c…

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

A:

Q: Find the orthogonal trajectories of a system. x'y2- 2xya + a2 0 %3D

A:

Q: 8. Find the orthogonal trajectories of CX

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

A:

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.