47. y" + 3y' + 2y = 4e*

Q: Solve the intial value problem. y" + 2y' + 2y = sin3x; y(0) = 2, y'(0) = 0

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Q: dx/dt = 2 and y=x^3, what is dy/dt when x=-4,2,6

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Q: If y = (2x)sin (4z) , then dy sin(4æ) · (2sin(4z) esin(4z) In(x)) %3D dx X synta

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Q: find the differentials of the first and second orders u=xyz

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Q: х2+1 dy 4) хеУ dy- *dx 5) х?у 3 (1 + х)Csc y y dx 6) хеУ dy + (*+1) dx =0 y

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Q: 5. Which statement is true about solutions of y(x), as a differential equation whose slope field is…

A: Correct option is A

Q: Find the differential equation of the families of circles with center at (2, k) and with radius r.

A: Given,           The differential equation of the families of circles with center ar 2,k and with…

Q: 5 Find xy dydx. 4

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Q: 3-S- In(x²+x)-Inx-elnx dx In(ex+1))

A: We will be using the integral formula of log function to solve the above given integral. We can…

Q: 2). 3rin y l dy dx [ 5 X In Xナ3

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Q: 1. Ye = cost- sec(at) %3D ans: =-2sin t - asec(at) tan(at)

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Q: 28. Differentiate implicitly to find dy/dx if x + x/y = 7.

A: Given, x3+x/y=7 we can also write as yx3+x=7y,  or y=x7-x3 derivate both side w.r.t x…

Q: 5 sin“(3t) dt

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Q: ind dy/dx if y=8x-3/24x^5

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Q: Sinh) esechct) dy

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Q: 25. Find x, y, eR from 2coshy - 7sinhx = 3 and coshy - 3 sinh² = 2 %3D

A: The given system of equation: 2cosh(y)-7sinh(x)=3                    ......  (1)cosh(y)-3sinh(x)=2…

Q: 3. Use differentials to estimate the value of 10 - (0.98) correct to two decimal places.

A: Please see the below picture for detailed solution.

Q: 15 dy dt 2-

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Q: If UX = 6 and XY = 6 solve for UV. Round to the nearest %3D %3D hundredth. Y

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Q: 3: The dimensions of a rectangular box are measured to be 75 cm, 60 cm, and 40 cm, and each…

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Q: If UX = 6 and XY = 5 solve for UV. Round to the nearest %3D %3D hundredth. U

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Q: 5. Use differentials to approximate V4 + In(1.2) correct to two (2) decimal places.

A: Let us take the function f(x)= √x f'(x)=1/(2√x) f(x+Δx)=f(x) + f'(x) . Δx   ___i) Here let us…

Q: (2(1-2) (1--) dy dx dz 1-z) Evaluate S, a-2 (1-

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Q: 5. Find y', if y = 2cosx sin2x – sinx cos2x day 6. dx if y = 1-cos4x 1+cos4x dx² dy 7. a if y = In…

A: (7) Let y=lnsinh 5θ and x=cosh(4θ)

Q: sec Vn du in

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Q: 4х, th dt Vhat is the

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Q: 4. Get the exact a. dy = cos 2x dz differentials of y = (sin 2)² b. dy=sin 2z dz dy = sin 2x d.…

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Q: Obtain the differential equation of the family of circle with center on the x-axis

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Q: 2. The radius and height of a right-circular cylinder are measured with errors at most 0.1 inches.…

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Q: 5) Form a DE by eliminating the arbitrary constants from the equation y = asin(4x + 1).

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Q: 11 Show that dy dx = 1-In2. 8(xy +1) 0 0

A: Follow next step

Q: Give 1 problem application of differential

A: We have to explain a real life example of differential equation.

Q: 1. Use Fermat's principle to find the path followed by a light ray if the index of refraction is…

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Q: 4. You will need to use L'Hopitals Rule in this one Sxe-* dx

A: This is a improper integral problem

Q: 22. Find OY if y2 - 4xy + x² = 10. dx

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Q: 2Linear edluotion 5. dy dx

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: 5) Inx Iny mz dx dy dz

A: Given: Let I=∫1e∫1e∫1eln x ln y ln z dxdydz To Find: To evaluate the given integration

Q: 16 Iny dy

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Q: fil experini for dy txďn

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Q: 2) Integrate: S(29sinx + 6e + 5 cos x + Vx)dx

A: Given that, The integral ∫29 sinx +6ex +5 cosx+x5 dx By using ∫f(x)+g(x)dx =∫f(x) dx +∫g(x) dx ∫ 29…

Q: 17. Show that V10x + 1 and Vx + 1 grow at the same rate_ as x→o by showing that they both grow at…

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Q: 4. Find derivatice y 4=In (x 3-4x²+1)

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Q: 4) S tanx dx cosxv1+secx 5) S(1- u)Vūdu

A: (4)  First we integrate this ∫tanxcosx1+secxdx

Q: 2-S S dx dy

A: to find the double integral we consider a strip parallel to x axis

Q: Sin'z dz 4.

A: Note :- These are multiple questions and you not mention here whose solution you want. So i am…

Q: 5. Integrate: S (cose-sin8) de sec 20 6. Find f(3y – y³)ž(1 – y?)dy

A: 5. Given integral, ∫ecosθ-sinθ2sec2θ

Q: tan Зy limy 0 3y O 3 O undefined

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…