Q-23 (a) Find the orthogonal trajectories of the families of Parabolas y = ax? + 8ax + 16a, which passes through the point (-5, 0) where a being a parameter. (b) of the families of r = eaº, where a being a Find the orthogonal trajectories parameter.

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

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Q: Consider the autonomous first order equation y' = y° + 3y³ – 10y*.

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

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Q: 0-0-0 2. 11 S = { %3D linearly dependent or linearly independent?

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Q: a. What is the family of orthogonal trajectories for the family of parabolas with axis parallel to…

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

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Q: (9) (a) In this question use a(t) = -32 feet / sec? as the acceleration due to gravity. S(1) =gt gt²…

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

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

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Q: 2 b. y" + y' - 2y = %3D

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

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Q: 5. Motion. In a straight-line motion, let the velocity be the reciprocal of the acceleration. Find…

A: As per guidelines at a time only one question is answered Solution of first question is given below:

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Q: (a) Draw a direction field and describe how solutions seem to behave. (b) Find the critical points.

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Q: Q.NO.2: a) Find the equation of the orthogonal trajectories of the family of curves. x²y² = 4c²

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Q: 2 Two particles, P and Q, move in a straight line. The velocity of particle P, v, m s", is given by…

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Q: Q.2, a, Solve he initial valve problem * (2+x) dy + 2(1+x)y = 1+3x² y(-1) = 1 %3D by Find an…

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Q: (a) Find the orthogonal trajectories of the family of curves x* + y - 6x y = constant. (6) Show that…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: %3D у — Зу + Зу - у %3D 4е" y y =

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Q: 5. Find the orthogonal trajectories of the family of hyperbolas x² - 2y = ax. %3D

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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. [

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

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

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Q: 3- Find the orthogonal trajectories of a system. x²y² – 2xya + a = 0 %3D

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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

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Q: A force of 540 newtons stretches a spring 3 meters. A mass of 45 kilograms is attached to the end of…

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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)

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