%3D 20 24 tan 24 through solve this egni: Hint :oU=KL +2 =0 மு 3K²=Par ET %3D 2.

Q: Obtain the general solution por the di fferential equation %3D .(yd -x² )dy= 2xy dx %3D

A: Given; 1) y'=(x-y)/y. 2) (y2-x2)dy=2xydx.

Q: Solve the initial value problem dy y = 8e* + 48et dt with y(0) = 7. y = ?

A: detailed solution with explanation is given below

Q: dy 4x2-х-2 : У(1) %3D 1 dx (х+1)(у+1)

A: Explained below

Q: The 4.9 m long ropes of a swing make an initial angle of 12.2 degrees with respect to the vertical…

A: Given that The 4.9 m long ropes of a swing make an initial angle of 12.2 degrees with respect to the…

Q: (sin y) (x + sin y) dx + 2x² cos y dy = 0

A:

Q: follerving initial value problems by separating the Vasiables Solve the ye)=2 %3D %3D dx

A: Solution:Givendydx=y2-1x2-1; y(2)=2Formula:log ab =log a +log blog ab =b log aa2-b2=(a+b)(a-b)∫1x…

Q: Solve the following equation using the Galerkin's method (at lease 2 parameter solution). Please…

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Q: nd and classify the eguilibriam solutions to: dy -y° - ly dx 2

A:

Q: y² +4 dy y

A: Explanation of the answer is as follows

Q: 1. V dr sec valuate- O arcsec (arcsec,/r) + c C. farcsec? /r 1 c arcsec'z + c Б arcsee? т Iс

A:

Q: The work done W, to stretch a spring from its natural length to an extension of 4 meters Is given by…

A:

Q: y' +y tan(x) = sec(x) %3D

A: Given: y'+ytanx=secx We know that general solution of differential equationy'+ypx=qx is given by…

Q: Solve this Di fferential equat ion by applying (Variation parameters) y+y%3DSE c x

A: The given differential equation is y''+y = sec x

Q: sec2 t dr 42. dt (п, 4) TT tan t + 1'

A:

Q: 3. y' = csc x y cot x. ANS. y sin x = x + c.

A: Given that  y'=cscx-ycotx

Q: The radius of a sphere increases at a rate of 3m/sec. Find the rate at which the surface area…

A:

Q: Calculate the value of x in the figure: AB = BC = DA and BD = DC (Not drawn to scale). %3D %3D 21 2x…

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Q: dy - ycos x dx -yn[yedk CoS

A:

Q: Given 12 csc (6x) Cot (6x) dx Step 2 How are these values înserted into the Cot (62) equation in…

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Q: While evaluating the approximate value of x2 dx, using Trapezoidal rule, taking 3 h = 0.5, the value…

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Q: 3. (e* + 1)dx + (e* + 1 + x)dy = 0 %3D

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Q: dy 50(1 + cosx) – 0.05y, 0<x< 2π dx (0) 200

A: Given an ordinary differential equation with initial values.

Q: Evaluate ∭x2 dV, where E lies between the spheres ρ = 1 and ρ = 3 and above the cone Φ = π/4?

A:

Q: At 2:00pm a car's speedometer reads 30mph, and at 2:10pm it reads 40mph. Use the Mear Value Theorem…

A: Let the time 2:00 PM be the initial time, And the time 2:10 PM be the final time instant, The…

Q: The radius of a sphere increases at a rate of 2m/sec. Find the rate at which the surface area…

A: In sphere Rate of radius= 2m/s Find the rate of change in surface area?

Q: ds 1 s tan =cSC dt 2 2 2

A: We will find out the required general solution.

Q: the EXACT Salutian to the equation belaw/de not decimal apprakimatea) give %3D

A:

Q: While evaluating the approximate value of x2 dx, using Trapezoidal rule, taking h = 0.5, 3 the value…

A: Given integral: ∫36x2dx h=0.5 To find: the value of N=?? [no.of sub-intervals]

Q: (V# + yi - 2)dx + +yi – 1)đ /x² + y² d- |

A:

Q: While evaluating the approximate value of 20 x² dx, using Trapezoidal rule, taking 3 h = 0.5, the…

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Q: dx + 2xy = sin y , x(n) = 1 - dy

A:

Q: Solve the  formula for the indicated variable. Mechanics F = mv2 / R  for R

A: The given equation is F=mv2R. To solve this equation for R , the variable R needs to be isolated…

Q: 5. J sin42x cos22x dx.

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

Q: Given a level suface 4x2y2 + 3xy = 5 with y = y(x). Find at the point (2, 4). Give your answer…

A: Given surface is: 4x2y2+3xy=5

Q: 3 3 ex dx = e3 - e, use this result to evaluate Given that %3D 7ex + 6 dx.

A:

Q: Given DE: dy/dx = 2x?y!/2 Determine whether there's a unique solution to IVP at point (2,4)?

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Q: The shape of a hole pored by a drill is a cone surmounted by cylinder. If the cylinder be of height…

A: Consider the following figure. Given tanα=hr. We know that the volume of the cylinder is…

Q: (2xy* + siny)dx + (4x?y³ + xcosy)dy = 0

A: The objective is to show that the  differential equation is exact and solve it.

Q: 24. (х? + 2х + у) dx + 2dy %3D 0

A:

Q: I d²u dv² tan v sec“ V

A: Find your answer below

Q: W = C - sec?(3x) – V8 )dx. Evaluate W - 6х+9 *

A:

Q: I proved they were similar but I was having trouble finding each variable I tried many different…

A: Since you have proved the similarity , so we will work on finding x,y,h. We are going to take the…

Q: While evaluating the approximate value of | 2² dx, using Trapezoidal rule, taking h = 0.5, the value…

A:

Q: Tc ニ lD+ 5Q+ 180 Q? Te= l00°+ 5Q + Q - given fumetion he 780Q? O-1 = OK IC parginal Revenue inal…

A: Given: TC=100+5Q+1480Q2

Q: sec?y dx? – csc²x dy? = 0

A: The given differential equation is sec2 y dx2-csc2 x dy2=0, which can be simplified as follows: sec2…

Q: (7/6 sin t dt cost 39.

A:

Q: dr + (2r cot 0 + sin 20)d0 = 0

A: Let's find.

Q: (3) ds V3s2 + 1 (4) / sec?(3/t) dt VE

A: Note: As per companys guidelines we are supposed to solve only 1 question ∫s33s2+1dsSubstitute…

Q: (х5 + Зу) dx — х dy 3D 0

A: Given :                          x5+3ydx - x dy = 0Divide both sides by1x dx   1x dx x5+3ydx - x dy…

Q: The radius of a sphere increases at a rate of 3m/sec. Find the rate at which the surface area…

A: