3.Eliminate the arbitrary on the given equation: xsiny – xy cons ,2,-3 = C -

Q: Graph the limaçon. Oval limaçons r = 2 + cos u

A: Given- r=2+cosθ To sketch- The graph of the above limaçon.

Q: By approximately how much will f(x, y, z) = x cos(rz) – 4x – 3y sin(xz) + y - change if the point…

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Q: O(y-+ rycota)dr + zdy O (coszcosy– cotz)dr sinrsinydy 0 O ydr + (3z -g')dy = 0

A: A differential equation is called linear if 1) every dependent variable and derivative involved…

Q: 1. Prove that the composite trapezoidal rule with h = 2-i, i E N, is exact for ſ cos? (Tx) dr

A: We know that in composite trapezoidal rule, we approximate the integral as follows: ∫abf(x) dx ≈  h…

Q: What is dyldx at the point (1,2) of xy^2 + 2xy 8 ?

A: The given equation is: xy2+2xy=8...(1)

Q: Find the arclength of y = 2x2/3 from x is greater than or equal to 1 and less than or equal to 2

A: The arc length of the function y=2x23 between x=1 to x=2.

Q: 4. Calculate leme/) at (z,y) = (a, 4). sin(z/g) ey2/2 A ev2/2 B 4

A: Here we have to calculate ∂∂xesin(x/y)=? at (x,y)=(π,4)

Q: Find the asymptotes of the cissoid of Diocles defined by the equationy2(2a−x)=x3,a>0.

A:

Q: Differentiate with respect to x: y= In(3x2)/x3  and y=x2sinx/cos2x

A:

Q: 2. Evaluate dy, where C is the part of the parabola y = x² from (1, 1) to (2, 4).

A:

Q: S cos“C)dy

A: NOTE: Refresh your page if you can't see any equations. . take

Q: Find the orthogonal trajectory of y = C[cos(5x – 1)]. O y? = In [sin(5x – 1)]² + C O In[- cos(5x –…

A: The given equation is, y = C[cos(5x-1)]-1

Q: az and dy Find 1. z = 4e**3 2. z = fir 3. z = cos (x°y^)

A:

Q: Q3 Find dyldx on the graph y secx + y = cos2x at point (1, 2).

A: We have to find the derivative of above function at (1,2) Please see the explanation below

Q: Express a general solution to 2x (1 — х)у" + (3 — 10х)у — бу %3D 0 Using Gaussian hypergeometric…

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Q: chuk thisynncdrs and gaph the if O-0,7 Curve r-4a Coso

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Q: Which of the following images depicts the su y = 3 sin x, defined on [0, 7], is rotated about the…

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Q: 2. Show that the Euler-Cauchy Equation Iy" + axy + by = 0, 1+0 can be transformed into the constant…

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Q: (a) Find the solution to the following Goursat problem: = 4ux, (-2 0), u = arctan(x) on x+2r 0, x…

A: Given: The Goursat problem, utt=4uxx, -2t<x<2t,t>0 u=tan-1x on x+2t=0, x<0 u=xx+3 on…

Q: Ex ercisei- (U show that x and fy exist med for all Cain Jeree. 't Cont at Co,o)

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Q: 8:54 1 3. If y = (5x)sin(3x) , then %3D dy %3D dx Type here to search

A: This question is related to differentiations. Solve in 2nd step.

Q: O Consider d = - CoSk; yeo) =0,iylo) Reduce he abore initial vaeue problem To be roltera entegral…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Derive the D'Alembert's solutiojn to the following Cauchy problem Un = Uxx, - 0 0 u(x,0) = e,…

A: Consider the Cauchy problem, utt=uxx, -∞<x<∞,  t>0ux,0=e-x, utx,0=sin2x, -∞<x<∞ We…

Q: Let w = x*y cos s(4z). Find the following.

A:

Q: Let C, be the rectangle with vertices (0,0). (1,0) (0,2) and (1,2) oriented counterclockwise. Find J…

A: Green's theorem problem....

Q: 3. Use Green's Theorem to evaluate (y-6y) dr + y + 10y) dy where Cis shown below y (-11) (1-2)

A:

Q: Ex: If w cos(uv), u = = xyz, y = π 4(x²+y²)' aw find at point (1, 1, 1). əx

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Q: Forz =x+jy determine the equation of the loci in the Argand diagram of: arg- %3D 4

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Q: B. Switch the order of integration: cos (x2) dædy. Just SET UP with the order switched. DO NOT…

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Q: Find the solution of the following Cauchy problem and sketch its graph at t = 0,0.5, 1, 1.5, 2 &…

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Q: Which of the followings is TRUE for f(x, y) = x² + y² on the hyperbola zy 1.

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Q: For the IVP: (1-4) cos ty"-In(r-1)y+VT+5y=e, y(2) =1, y(2) = 1

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Q: Find the general soultion of the follwoing equations dy cos x + y = cos²x, 15

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: 1.Why does the following DE have an unique solution on an open rectangle that contains the point (O;…

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Q: 3.b) Eliminate the Ar bitrary Constants in the equation: ( 3.a) Eliminate the Arbitrary Conat anta…

A: We have to obtained differential equation of given curves.

Q: O) Lind dyldx of 3 xex 1o X +3y = 0 2sinx cos y =1 9 x = sec 'y (2)

A:

Q: 2, If fCx)=xInCx²+), find the ea uation for t4e tan9ent 1ine to fCx) at x= 3.Hint: Remember the…

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Q: i. y" + 2y' + 16y = cos 3t, yp(0) = ypo, Yp(0) = ypo using your values for ypo & ypo from Part 1.…

A: Given equation is  y''+2y'+16y=cos3t                    (i) Eq. (i) is a second-order…

Q: 7. Suppose that x2 + y? = r² and x = r cos 0, as in polar coordi- nates. Find дr ax дr and дх

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Q: in R°sketch the graph of the cylinder x = (y – 2)?

A:

Q: Consider the equation хд,и — удуи — -и with the initial condition: u(x,y) : = 2 on the circle {(x,y)…

A: Given the equation as x∂xu-y∂yu=-u                  (1) write down the subsidiary equation of (1)…

Q: - Find + Uy, Given that u(X,y) tan(x+11XY+y")

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Q: Suppose that ƒ € H(C) and f(n) = 0 for all n e Z. Show that all the singularities of f(2)/sin(rz)…

A: Given that fz is an entire function with fn=0 ∀n∈Z and let gz=sinπz We have to show that fzgz has…

Q: ,3 Let w = x'y cos(2z). Find the following. dw (a) (x, y, z) = (b) (x, y, z) = ду (c) (x, y, z) = dz

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Q: if z, = (1 – v31) and zz = (V3 + i) by De Movier's theorem z,z– 4% = 1 (cos( +5 + isin +5)

A:

Q: 1. If y= tan x, prove that y= 2(y´ +1)(3y² +1).

A: Use the following differentiations as, ddx(tanx)=sec2(x)ddx(sec(x))=sec(x)tanx Now, differentiating…

Q: Find the solution of the following Cauchy problem and sketch its graph att = 0,0.5, 1, 1.5, 2 & 2.5:…

A: Consider the given utt=uxx,              -∞<x<∞, t>0u(x,0)=ϕ(x)=2cosπx4 ,|x|≤20…

Q: (c) The region between the loops of the limaçon r = 1 + cos 0.

A: