Which of the following is NOT a separable offerential equation? y dy me de a dr-V4- dy =0

Q: Given z= 10t +43 and y = 65t+143 %3D %3D dr (i) dt dy (ii) dt %3D dy (iii. (write the simplified…

A: Explanation of the answer is as follows

Q: dw dw and ds 3 Assume that w =f(s° +t) and f'(x) = ex. Find dw at dw do II

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Q: (a) 2+j - j(x+jy) メ=? y-? 1-j (b) (2+j)(3-j2) = a+jb a=? be? ((メ-j2y) -(y-Jx)-2) x? y?

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Q: So lve the di fferential equation dy + y - ecos x = 0,0 s x s0.5, y (0) = 0 by (a) Milne's me thod…

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Q: find the geeral aluten for d'y dy du Ay= eax (1+u*) du2

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Q: Find the oades and degsee ot e"y" - 3(y) + 22y =xeX and waite tie diffes ential equation in nosmal…

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

Q: dw Q/Answer the following - ar ,w = (x + 3y + z)², x = r3 – s², y = tan(r + s) ,Fsin(r+s) at the…

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Q: The velocity of a particle moving in space is v(t) = i + tj + t²k, find the coordinates of the…

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Q: tind the diFfe rential equation rolution is whore y C1cos 7x t C2 sin 7x

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Q: Is the function y = Cx? a solution to the ODE y" – xy' + y = 0?

A: Using Derivatives.

Q: Transform the equation dy = ry into a variable da separable form. O vydy = xdx dy dy Vydy de %3D

A: We will transform the given equation into variable separable form as shown below

Q: Find a solution of x dy =y?-y that pases du Through indicated points

A: For the given problem, below is the solution.

Q: Find r(t) that satisfies the initial condition(s).…

A: Given: r(0)=2i

Q: What is the domain of r(t) = e'i + j+ (t + 1)~³k?

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Q: dy Transform the equation into the form of dx xlnx variable separable equation . dr rinz + ydy = 0…

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Q: Find dy dx2 Q2 when t = 1 if given the parametric functions as below, x = 3e5t y = te-5t

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Q: Determine whether the statement is true or false. If x = f(t) and y = g(t) are twice differentiable,…

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Q: Assume that w = f(s3 + t?) and f'(x) = ex. Find dw dw and at ds dw at dw

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Q: make outbound JÄ x -4/3B = -12Ä ·B jän;B sà nai } = "i the corner achieve True false

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Q: Q2 Given z = xw? + cos y + wx , w= t , x = 2t2 , and y = 3t, find dt

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Q: dy y? dt t t2 Select the correct response: None 2t O Y 1 – ct? - -2t O Y = 1+ ct2 2t O y = 1+ ct2

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Q: Which of the following expressions gives the length of the curve y = e3« from æ = -1 to x = 2? • 2 |…

A: length of curve expression is written as.. ∫ab1 + (y')2dx so here y' = 3e3x ∫-121 + (3e3x)2dx ∫-121…

Q: Since wCo) = -2 in the diferential equation 3 dw + 6 w =g OBtain wCt) and explain dt Be haviort t =3…

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Q: Which of the following is/are linear equation/s of the first order? (2s e) ds = 2 (se - cos 2t) dt…

A: Topic- differential equations

Q: Consider the 2nd order equation 2²y+ Sin dy y² +y = Choose the ight assertion A) the linearized…

A: consider the 2nd order equation d2ydx2+sindydt+y2+y=0 this is a non linear homogenous differential…

Q: Which of the following is not linear? a. 3. 2x + Vy? – Vz3 = 4 (sin T1/2)x1 + 4x2 = cos245 b.…

A: Which of the following is not linear? a 2x+y2-z33=4b sinπ2x1+4x2=cos245c 12x-y+πz=4d…

Q: Find y(t) using the following information. ay = t5 + 9et; y(0) = -12 dt %3D %D y(t) = %D

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Q: Find the extremal for -T | (2? + 2ri + 2r?) dt when r(0) = 1 and T = 2 (i.e. r(2) free). %3D

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Q: Q3) for f(t) = sec?(6t – 1) and g(t) = tan?(6t - 1) show that %3D f'(t) = g'(t).

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Q: Compute the length of the curve r(t) = 8t i+ 8t j + (t² + 7) k over the interval 0 <t < 3. HINT: use…

A: We will find out the required length.

Q: Jy (a, b)? b.) Determine for what points g(x, y) = x – 2 In|x + y| is differentiable.

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Q: Transform the equation 2 (y + 1) dr – ydy = 0 into the form of variable separable. O 2zdz y (y+1) dy…

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Q: 3e2º sec 20 dy determine de Given y = V(0-2)

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Q: Q. find each line integral along the two given curves C, and C2. So(x + y) ds (a) C: x=1, y = 3t, 0…

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Q: dw Assume that w = f(s° +?) and f'(x) = e*. Find dw and ds dw at dw %3D ds II

A: We have, w = fs3+t2 f'(x) = ex To evaluate : Expression for ∂w∂t and ∂w∂s

Q: Find the solution for the damped motion. my'' + cy' + ky = 0 with m = 10, k = 90, y(0) = 0.16,…

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Q: Q2: y" + ay' + by f(t) Find a,b and f(t) so that Yp1 = et +t? – 1, Yp2 = e2t + t2 – 1 %3D %3D

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Q: Find the general soultion of the follwoing equations dy cos x + y = cos²x, dx *+ y = xy/3.

A: Differential equation

Q: Identify the secant: H/ BA C F O Line DF O Line HG O Line AH Line BH 7.

A: A secant is a line that intersects a curve at atleast two points. For a circle; if a line cuts the…

Q: dt (b) z = x?y where x = st and y = t2 – s2 dz 2st?(t? – s?)? – 4s³t²(t? – s²) as answer: az 2s²t(t?…

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Q: Solve the fello wing differntial equation by ieg Lapla ce trans frmation dy +2y=0, dt , where…

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Q: The indicial equation of (r – 1)?y" + (x³ – 1)y' + 2y = 0 at = 1 is :

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Q: Differentiate. R(t) = (t + e)(2 - VE) %3D R'(t) =

A: Given function is Differentiating both sides with respect to x by using product rule of…

Q: u(x, t) = ear+bt %3D 1 u(x, t) = -/at %3D

A: The given functions are ux,t=eax+bt and ux,t=1te-x2/at.

Q: Sulve the follo wing differntial equation by vier Lapla ce trans Beration trans Lrmation dy o ,…

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

Q: sin(r. r dr dy. Compute O y/3

A: To evaluate∫01∫y131sin(πx2)x2 dx dyx= y13y = x3

Q: dy in terms of Differentiate parametrically to find dx t: x = 3t2, y = 6t A B 3t C) 3t D E None of…

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Q: Determine the order of the DE. а) y' + у %3D 5у? b) = t dy dt c) y' = y" + 5t2

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Q: Assume that w=f(s° +t) dw dw and ds and f'(x) = ex. Find - dw %3D at dw ds

A: Given : w=f(s3+t2)  and f'(x)=ex

Q: The general d²x dr sx = Ae]@f + BeJor, = -1. Verit where j %3D | hat this is indeed a solution. What…

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