3. Use method of variation of parameter to solve the following DE y" + 16 y sec4x

Q: For long cirular cfinder of Re two halves maintained at temprature U1 and Vi respectively, Show that…

A:

Q: If UV = 8, UX = 4, and XY is x + 3 find x. Assume that segments %3D that appear tangent are tangent.…

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Q: 4) SE (8 y? + sin y ) dy 2

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Q: Find given that cot (3x-2y)=2x-3y. dy da

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Q: 4/ Solve The DE: [x+y Cot()ay-yx=si

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Q: The length of the curve y= is equal to x =3: from to 을(x2 + 2) O a. 12 Ob. 1 O c.9 Od. 3

A: We can use the application of integration in order to solve the given problem.

Q: [(VxA)• dS over the surface of a hemispherical b 2 and its circular rim if A = 3 sin()â

A: Sol

Q: The equation of the tangent line to the curke x? + y = 36, at (6,-16) is %3D y = (x+6) + 16 16 16 16…

A: we have to find the equation of the tangent line to the given curve at (6, -16)

Q: I need help to find particula solution using undetermined coefficients: y''+4y = sin(t) + t2 + et

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Q: Q4) The standard formula for the tangent of the sum of two angles is tan x + tan y tan(x +y) 1- tan…

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Q: Which integral computes the circumference of the ellipse +y? = 1? 2 216-322 16 – 4x2 dx 16 — З2? -…

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Q: Find the exact length of the curve. y= In{1 – x²), o s 1. 0 sxs! 7. I Ju =

A: We will find the exact length of the curve as shown below

Q: If y – x² – 3 =–xy and it is known that dy da –y+2x 1+x find all coordinate points on the curve…

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Q: 2m (b) S* dz. VI+3 sin z cosz

A: Explained below

Q: If UV = 7, UX = 5, and XY is x + 3 find x. Assume that segments %3D that appear tangent are tangent.…

A: Given circle is as below :

Q: 1. Solve, using the method of variation of parameters: y" + y = sec 0 tan 0

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Q: USC Tolx)=1 and Ticx) = X to find %3D Te (X)and T3(X)

A: Given that, T0x=1 and T1x=x. It is known that, x2=12T0+T2 and x3=143T1+T3. Obtain the value of T2x.…

Q: Solve by variation of parameters method (h) y" + y' = tan x

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Q: Solve the DE: + dy +secx(y-2sec³x+2sec² xtan x)+y cot x= 0 dx

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Q: 4. The tangent of the acute angle between the linesy = 4x – 3 and y = x - 5 is Tano 144() 13 3

A: Please rate

Q: The equation y = xy can be classified as FOLDE and Bernoulli’s equation. True False

A: Given that, Differential equation is following, dydx+4x2y=xy We have to find that this D.E can be…

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

A: We will find out the required general solution.

Q: 4 Find a. the equations of the tangents to the circle x +y + 4x – 2y – 24 = 0 at the points where…

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Q: C Reduction OF Crder and Variation OF Parame te 1. : tan 2x

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Q: Find Duf at P: f(x,y) = sin(8x – 5y); P (5,8)); i и

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Q: If UV = 7, UX = 4, and XY is x + 2 find x. Assume that segments %3D that appear tangent are tangent.…

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Q: at the explanatory variables are jointly si

A: The ANOVA table is provided.   The test statistic F can be calculated as F=MSRegMSResidualF=1750675…

Q: Solve the equation on the interval 0<0<2x. cot 0 + V3 = csc 0 %3D

A: cotθ+3=cscθ On simplification, we get…

Q: 5 Locate the bijurcotion values jor the one-param eter jamily dy- ytly+a and draw 1. values jor the…

A:

Q: 2 2 Evaluate SS(\y sin y) dydx .

A: To evaluate: ∫0π2∫x2π2ysiny dy dx The first step is to reverse the order of integration. Here y is…

Q: 3x + xy? 2y + x?y dy dx

A:

Q: If y = (sin¬1 x)², show that dy (1 – x²) da? dy = 2. dr

A: y=(sin-1x)2 we have to show  (1-x2)d2ydx2-xdydx=2

Q: The value of [xe*dx by using the three-segment trapezoidal rule is most nearly

A: by trapezoidal rule

Q: For the DE y" + 9y = sin 3x : Use Variation of Parameters to find Yp

A: Given differential equation is, y''+9y=sin3x. In operator form can be written as, D2+9y=sin3x…

Q: Find the equations of the tangent and normal line 4x2 + y? + 8x + 2y = 20 at x = -3 %3D

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Q: 15 Find the Equation of the tangent at (); 4 2 'V or to armist mi Y sin (127) = x cos (24) 7 ition]…

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Q: 3 Solve the following GDES by variation of parameters method: ý - 2y +y = e sinx Ansa U ● X sin X

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Q: Find Duf at P. 3 4 f (x, y) = sin(x – 5y); Р(5, 1); u = i и %3 - - NOTE: Enter the exact answer. Duf

A: This is a directional derivative problem

Q: 4) B: Solve for x: az + vx-4 + y sin2x) < 4cos2a laxdy

A: Given - ∂2∂x∂y y3+x-4 + y sin2x &lt;4cos2π To find - the value of 'x'

Q: 2. Find the unit tangent.vectar. I and the length.cf. be. FItd=(ct)j +(sín.t). K.

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Q: Express = In(4t), y = 7 – t in the form y = f(x) by eliminating the parameter. y =

A: Given equation is as below: x=ln(4t)y=7-t

Q: O, Solve the foluing differanital equehins -1 Ĉ (-o + g(t)), with ☺ (to) - 0, ? %3D dt

A: In this question we have to find the solution of the ODE.

Q: The curve y = ax? + bx +c passes through the point (2, 28) and is tangent to the line y = 4x at the…

A: Explanation of the answer is as follows

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: (7/6 sin t dt cost 39.

A:

Q: Use Green's function method to solve the following BVP y" – y = cosx, y(0) = 0, y(ln2) = 2 %3D

A: The given differential equation is y''-y=cosx   ….(1) and the initial condition is y(0)=0 and…

Q: Use the method of variation of parameters to determine a particular solution to the given equation.…

A: Solution is given below

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.