x² – y² = = CX

Q: 3x* – 4y* = C

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

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: Find the length of the curve /- y = Vcos 2t dt from x = 0 to x = "/4.

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

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Q: Find the linearization of the function f(x,y) = V9x² + 16y² at the point (1, 1), and use it to…

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

A: Nothing

Q: Find the orthogonal trajectories of Vy= = CX

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Q: Find the best linear approximation to f(x) = x² on the interval [0, 2].

A: Here we use Taylor's approximation.

Q: Determine the orthogonal trajectories of the family of electric field lines described by the family…

A: Given    x-c3+y2-c23x-c=x3   differentiate  w.r.t.x    3x-c2+2ydydx-3c2=3x2⇒2ydydx=3x2-3x-c2+3c2…

Q: Find the orthogonal trajectories of the family of curves xy = a where a ≠ 0is an arbitrary constant.

A: Consider the equation: xy=Cy=Cxy'=-Cx2 Substitute the value of C in the first derivative:…

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

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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: fCx)=(1+x)* at X=0 is LUX)=1+ KX + "७) %3

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Q: Find the orthogonal trajectories for the families of curves y+x^2 = w where w is a parameter

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Q: Find the linear approximation to f(x) = at a = 4.

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

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

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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: 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.

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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 linearization of f (x, y)= e²"¬*, at (0, 7 / 2).

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Q: Find the orthogonal trajectories of y² = cx³

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Q: Find the orthogonal trajectories of the family of x² – y? = cx = CX -

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Q: y? = = CX Find the orthogonal trajectories of x2 +

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Q: Find the orthogonal trajectories of Vy = cx = CX

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

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

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Q: Find the orthogonal trajectories of У — сх CX

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

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Q: Let y=2x^2+7x+4. If Δx=0.3 at x=5, use a linear approximation to estimate Δy. Δy≈ ?

A: y=2x2+7x+4, ∆x=0.3 & x=5 Differentiating with respect to x, we get dydx=22x+71+0=4x+7 Now at…

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

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Q: Obtain the orthogonal trajectories of y=Cx^2 and compute for the positive value of y of the…

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Q: ind the orthogonal trajectories of the family of curve x2/3 +y2/3 =a2/3 where "a" is the parameter

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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. (Use C for any needed constant.) y = 19k

A: The objective of the question is find the orthogonal trajectories of the family of the curves.

Q: 6) Find the orthogonal trajectories for the given families of curve 3x - y = c.

A: To find orthogonal trajectory first differentiate with respect to x then remove constant then put…

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

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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

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Q: 8. Find the orthogonal trajectories of y cx

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

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