6. Verify that fy =fx for the following func %3D ху 6.4 5. 3 f(x, y) = 2x°y* - 4x°y³ f = fy=. fxy = fyx= ху

Q: 7x – 4xy = C

A:

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

A:

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

A:

Q: 1. Find the orthogonal trajectories of the given family of curves: a. y = Ce-mx; with m held fixed

A:

Q: 2) Show that the cosine(45°) = V2 * (0.707). Let “u" = 22.5°, use calculator. %3D - 2

A:

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

A: Given that: y2=x3a-x

Q: 5(a) Determine the orthogonal trajectories of the family of electric field lines described by the…

A: To find - Determine the orthogonal trajectories of the family of electric field lines described by…

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: Find the Tians Farm F(s) = "suy (27>1>0) (1 – s)(1 – e **) 3) f(1) = e',

A: Given problem:- Find laplace transformation of f(t) =et (0<t<2π)

Q: (i) Find the conditional pdf's fyx2 and X y

A:

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: 6.5.4 Find the PDF of W = X + Y when X and Y have the joint PDF fx,x(z,y) • otherwise.

A: Given: The joint probability density function of the random variables X and Y is provided as:…

Q: Show that, as n → ∞, n^4/3^n → 0 linearly with rate 1/3.

A:

Q: If T, is an MVUE of y (0) and T, is any other unbiased estimator of y (0) with efficiency e < 1,…

A: Answer: For the given data,

Q: 2. Find the family of orthogonal trajectories of the given family of curves in the following…

A:

Q: 1. Find the orthogonal trajectories of the family of curve a2+3y2 = cy ,where c is an arbitrary…

A:

Q: p = m(1-dt) for d (buisness)

A: In this question , we can solve for 'd'.

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

A:

Q: Obtain the general soluti d²y 1. 7- y = 10sin²x

A: Given: d2ydx2-y=10 sin2(x)

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

A:

Q: Q4/is that, the Sulutton to the differentiel equation dy-tX+4. is it's

A:

Q: ==, j= 4 and x=0 about tue liney=5

A: Disk method: -  When the axis of revolution is the plane region's boundary and the cross-sectional…

Q: 4. Find the orthogonal trajectories of the family of parabola described by the equation (y– 3) = Cx.…

A: The solution of the problem is given in the next step.

Q: 5(a) Determine the orthogonal trajectories of the family of electric field lines described by the…

A:

Q: (6) Find the orthogonal trajectories for the given families of curves 2x2 – 7y = c.

A:

Q: The orthogonal trajectories of the families of curve 3x? + y? = a? is

A:

Q: 3. Fimd the exact atea of the Sure Pace curve y=V5-x 3{x55 by Yotating the our X-aris.

A: The given curve is  y=5-x  ; 3≤x≤5

Q: 1. Find the orthogonal trajectories of the family of curve a+3y2 = cy ,where c is an arbitrary…

A:

Q: 5. The equation of the normal line to the curve 3y3 = px² – q_ is 9x + 4y = 10 at %3D %3D x = 2.…

A: follow next step

Q: -y 5. e+eY = C %3D

A:

Q: (4) Find the orthogonal trajectories of the family of curves z +y 2C?, where C being %3D a…

A: Note:-    as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: 23. If exy = 3, then what is Y at the point (1, In3)? dx -In3 3ln3 In3 -4In3

A: Given:- exy = 3 To find:- dy/dx at point (1,ln3)

Q: 6. y = C Sin x

A:

Q: (4) Find the orthogonal trajectories of the family of curves z +y = 20C?, where C being %3D a…

A:

Q: Compute sec? z + x) dr

A: Given : ∫12sec2x + xdx

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

A:

Q: . If 4=(x+2y+az, bx-3y-z,4x+cy+22) is irrotational. Find constant a,b,

A: Follow the procedure given below.

Q: 2. Use a linear approximation to estimate V1.03. 3 If f and a are the functions whose gronhs

A:

Q: 16. If ZSTU = (13r-6)', mSU = (21x + 8)', and mUT = 143', find mST. %3D %3D %3D T.

A:

Q: 5. Find the orthogonal trajectories for a family of circles tangent to the y - axis and centers at x…

A:

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

A:

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: 1. Find the optium path for f=xy³ from (2,1,2)

A:

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: 5) a) Compute Ko for the function f0=V+X by using the de finition of the deniratire, b) Find the…

A:

Q: If s = 3/t + 1, then ds Preview %3D dt

A:

Q: Suppose that the true model is () E+ and that it satishes MR1-MR6, but you estimate by OLS (II) W=…

A: From the given information, I yi=γxi+ei The OLS estimator of γ is, γ^=∑i=1Nxiyi∑i=1Nxi2 II…

Q: = 11% and E = 715, calculate the Еxample 4: If К. stock value of XYZ Ltd. for: 2) r= 11%

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.