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

Q: Some diseases (such as typhoid fever) are spread largely by carriers, individuals who can transmit…

A: Solution.

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

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

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Q: determine the equation of the orthogonal trajectories of the following families curves: y= C ( Sec x…

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

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Q: A particle moves along the x-axis with acceleration at any given time t as a(t) = 3t+4t+6,jf the…

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Q: 3. Suppose a child going down a slide experiences an acceleration of a(t) = (- cost,- sin t, –1).…

A: Given,  Acceleration is,  at=-cos t, -sin t, -1Writing in vector form,at= -cos ti^ + -sin tj^+…

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

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

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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: Q2] can transmit the disease but who exhibit no overt symptoms. Let r and y denote the proportions o…

A: Here c1 is arbitary .

Q: etermine the orthogonal trajectories for x? = ky³.

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

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

A: Solution

Q: 6) A weight oscillates in a vertical motion according to the position function y(f) = -5 cos t.…

A: Acceleration for position function yt=-5cost is d2ydt2. Calculate double derivative d2ydt2 and…

Q: A particle moves along a coordinate line in such a way that its velocity at any time t is given by…

A: We have, a particle moves along a co-ordinate line in such a way that its velocity at any time t is…

Q: b. Using differential equations, find the orthogonal trajectories of the following family of curves:…

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Q: Q4/ Linearize the Function Z = XY2 About X, = 3, Y, = 6 using: a) Absolute Variables b) Perturbation…

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Q: Q2/ Find the orthogonal trajectories of the family of curves x-y - c² YAS

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

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

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

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Q: Find the orthogonal trajectories of x? + y? - 3Cx = 0.

A: If dydxis the slope of the tangent line then the slope of the orthogonal trajectory is -dxdy. So we…

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

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Q: 2. A particle starting with velocity u is falling freely under gravity with a constant acceleration.…

A: Introduction :

Q: 3. The formula g = 2s /is used to determine the acceleration of gravity. For a possible error of 1%…

A: Let's find.

Q: Q.2) Find the orthogonal trajectories of the family of curves e*(x sin y– y cos y) = c

A: 2 Given family of curves is e−xxsiny−ycosy=c. We have to find the orthogonal trajectories of the…

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

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Q: PART C: Find the Orthogonal Trajectories of the given family of curves. 8. y = 4x°(1– cx);

A: We have to solve

Q: A particle starts at time t-0 and moves along the x-axis so that its position at any time tz 0 is…

A: The position of the particle at any time t is: x(t)=t-132t-3x(t)=2t4-9t3+15t2-11t+3

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

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Q: Find the orthogonal trajectories of У — сх CX

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Q: PART C: Find the Orthogonal Trajectories of the given family of curves. 8. y = 4x*(1 – cx);

A: The given equation is y2=4x21-cx. Find the orthogonal trajectories of the given family of the curve.

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

A: Given curve is y=eax

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

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Q: 8. Find the orthogonal trajectories of CX

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Q: Q-2 Find the orthogonal trajectories of r= a sin e where a be the arbitrary constant.

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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

Q: 1. Find the orthogonal trajectories to the family of curves r+y = ce". Include the graph showing…

A: We are given an ordinary differential equation. We need to find its orthogonal trajectories which…