Sahving DES with Homagoneaus Coafficients 2 (2724 y?) dz- xydy- o esson:

Q: The lateral surface area S of a right circularcone is related to the base radius r and height h by…

A: We use the chain rule and product rule to find the derivative.

Q: Find mZJ. H. 5/2 5/2 J mZJ = Submit Work it c Not feeling ready yet? M

A: In the given right triangle HIJ HJ = HI

Q: I am having trouble evaluating ∭x2 dV, where E lies between the spheres ρ = 1 and ρ = 3 and above…

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Q: HIf y-cos Bt, find the freauency tw)and Thke fundamental Pekied la)

A: We have to find the frequency and fundamental period for y=cos8t.

Q: au a²U dt dx² Show that the local truncation error at the pint (ih,jh) of the Crank-Nikolson…

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Q: In Exercises 55 and 56, find both dy/dx (treating y as a differentiable function of x) and dx/dy…

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: H.W p.564/ use Trapezoidal method and Simpsons' rule to evaluate. dx 1) So √1+x² n = 4 se as Ars

A: # as per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: a) Solve etan y dx + (1+ e*) sec'y dy = 0. sin(3z + z?) b) Find y for y = (6 – z*)3

A: The given differential equations is  and the other equation is y=sin(3z+z2)6-z43 The differential…

Q: riable t. If 2sin (x)+4cos(y)=3a dy and dt 3, what is the val

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Q: 0. dy for y = 4t dt. 4t +1 3x3 Use Leibniz's rule to find хр

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Q: olve the equation x y² dy = (5 x³ + y³) dx using Homogeneous method.

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Q: Gixen dw wt 3y x dt dy +2X +3 x Find the gencral oludtii, usri eign.

A: Write the given system into matrix equation as follows.

Q: W3:- Estimate y(0.2),using Euler methe ere y': = -y?cosx „y(0)=1

A: Here we have to estimate y(0.2), using the Euler method with step size h=0.1 where,

Q: valuate S S Se(3 – 4x)dV, whe e xy-plane defined by 0 < x s

A: To find: ∫∫∫E(3-4x) dV

Q: Compute yarctar y? = 1 – 1+ y? ctan(y)dy. Hint: Note that 1+ y? fractan(g)dy- +C

A: we have to comloute the integral ∫ y tan-1 (y) dy we solve this integral by integration by parts…

Q: dy -y2+1,ysCJse Cantial cokditian.

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Q: sy using Euler's Method, approximate y (1.6), f = 2x ,y(1.05) = 1.1 and the step ize (h = 0.05). %3D

A: According to Euler's method, the formula for iteration is: Here, h is the step size and f(x,y) is…

Q: h(x) = S*(8t³ + 2t)dt, use the FTC Part I to find h'(x). %3D

A: Given :  hx = ∫1x8t3 + 2tdt

Q: x+ y dydx = Inß ху %3D Find B.

A: The objective is to find the value of beta.

Q: Use Picard's method of successive approximation to solve the equation de 1+ xy, y(0) 1 at 8.1 X-0.1.

A: Given differential equation is  dydx=1+xy, y(0) = 1 To approximate the solution at x = 0.1 using…

Q: I| The height in feet attained by a rochet t seconcls into flight 1s gien by hCt)= -t° + 16€?+ 33€+…

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Q: The total surface area S of a right cir-cular cylinder is related to the base radius r and height h…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: • Find so lutions usino Ex act Equations 1.) solve (ysinx t xycosx) dx + (Xsinx + 1)dy=0

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Q: 2) dy 3x-y+1 3y-x+5 Apply homogeneity test to differ en tial equertion cnd solve. %3D

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Q: The work done 'W' by a gas on a piston is given by P2 W = CP dp Where 'P' is pressure and 'C' is…

A: Given : Work done W = ∫p1p2 CP-1ndp Where P is pressure and C is constant.   To find : Show that…

Q: se Green's Theorem to evaluate SC (5y-9x)dy-(yx-x³)dx where C is shown below

A: Follow the procedure given below.

Q: Find work done from the followingW = G- sec²(3x)- V8) dx witch Gx +9 h used to stretch a spring from…

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Q: As a special case in which the error of Euler's method can be analyzed directly, consider Euler's…

A: Given,   Y'(t)=y(t),   Y(0)=1

Q: Halle la masa de la lámina que ocupa la región Dy que tiene la función de densidad P dada. D está…

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Q: Solve the IVP: 1 (tan y – 2)dr + (x sec? y + )dy = 0, y(0) = 1 %3D

A: The given ordinary differential equation is of the form:

Q: Q.2 Evaluate () dx. 2x (i) Using Trapezoidal rule by takingh = 0.2, h = 0.5 & h = 0.25. %3D %3D %3D…

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Q: Advanced Math dy/dx=sin(x)+1 using euler method h=0.01 y(0)=1 y(1)=?

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Q: A particle leaves the origin with its initial velocity given by v=23.8i - 143 m/s, undergoing…

A: Topic = Algebra

Q: Q3) Evaluate triple integral Lyx -y)dz dy dx.

A: Topic = Integration

Q: Solue d?3e 2 +4x=5in zt using methoel I Vorintion of parameters .

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Q: the solution of the givin DE dy = t+ y, y(1) = 0, at t= 1.2, h= 0.1 dt |3D %3D %3D Yexact = 0.2428…

A: Please refer to the image below

Q: Test for exactness (2ysinxcosx - y + 2y?e*y )dx = (x - sin?x - 4xyey")dy %3D solve exact de,…

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Q: ;+ 2リ+y = ハ- cos(t) Slove the D- E t2 with. Ze Vo initial cuudition s En gineer ing Analysis

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Q: Y" - Y = { 2, %3D Ost Y(0) = Y'(0) = 0, %3D %3D t21

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Q: (2^)u sec (VTt) 2V7t (a) y= tan dy: dt 5- v2 (b) y = 5 + v2 dy = -5- 2iv 5 -V-5-2iv5 %3D Need Help?…

A: Both the parts are given below.

Q: what is the Folution when i =0 and t= o ? di + Ri = Esin 2t %3D dt

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Q: Sea C la circunferencia x + y² = 1 orientada positivamente, fig. 11.12. Use el teorema de Green para…

A: Recall this

Q: dy 3. da + y = 2xy?e"

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Q: Integrate dy (a) y'Jy? +16 6. (b) V6x Vox-x* dx –

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: x²dx S: 1. 4 – 3 x' dy 2. V16 + y²

A: Let I=∫x24-x2dxI=∫x222-x2dxPut x=2sinudifferentiate…

Q: How to solve the ordinary differential equation using separation of variables?

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Q: E). f(x, y) = sen?(r2 – 0²) + In(r0 + 0), r = Vx2 + y² 0 = arctan con -

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Q: Use methed of Cardinates to Solve PDE du t 37gu = o (32² +81y -3y) for V 64) E R for Y te B with the…

A: We will use the approach of the method you mentioned.

Q: The radius r and height h of a right circular cone are related to the cone’s volume V by the…

A: If r is the radius and h is the height of right circular cone, then find the following parts.a).…

Q: Find Particular Sol. of  xsin2 ycosy y' + sin3y/ 1+lnx = 4 ; y(e)= π/2

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