Find a general solution to the differential equation. y' + 2y = 2 tan 2t - 3t 21-11e³1

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A: Follow the steps.

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Q: Solve the following non-linear equations: 2 100x₁ - 10x₂² + 5x3³ = 70 3x₁² + 10x₂-X₁X3 = 5 X₁X₂ +…

A: Thank you for the question. According to our guidelines we can answer only  first question and…

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A: Please find the answer in next step

Q: If v (x, y, z) = 6i-12j+7k find 1) Divergence of v. 2) curl of v.

A: Solution :

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Q: find solution using direct integral method for the partial differential equation below: 2³7 1 = 12…

A: Here we using integration w.r.t to x and y to find this

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Q: Denote the Euler-method solution of the initial- value problem dx dt x(1) = 1.2 In x using step size…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: 5. The dimensions of a cylindrical object are increased by a scale factor of 3. The volume of the…

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Q: VI. Disprove the following statements by providing a counterexample. Use 2 = {1,2,3,4) as the…

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Q: Use the calculus of residues to evaluate the improper integral COSX -dx. (x²+1)³

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A: Answer is given using concept of permutations and combinations.

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A: Answer is given using second-order predictor-corrector method.

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A: Solution :-

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A: Here given  y'=ty8-y4 or dydt=ty8-y4 .......(1)

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Q: Find the value of X(1) for the initial-value problem X d.x dt x(0.5) = 1 2(t+1) using Euler's method…

A: Please see the attachment

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A: False.

Q: 2. Write the system of differential equations dar - 2r+y. dt du <-5a-2y dt in a matrix form, compute…

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Q: seconds after the start of the movement. (B) Use Tabular integration to evaluate the following: -…

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Q: nk 2j ΣΣΣ k=4j-7h=6 = I || first step 2nd step 3rd step 4th step final CTLSWET

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Q: Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

A: Consider the given solid R, 0≤x≤10≤y≤1-x20≤z≤4-x2+y2 So, the diagram of the region is shown below,

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A: a) tan2x=13 tan2x=13tan x=±13x=π6,7π6,5π6,11π6

Q: find solution using direct integral method for the partia differential equation below: J³z = 12 xz +…

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Q: 2.3.4 Find the value of X(0.5) for the initial-value problem dx 4- = x(0) = 1 dt t + x using Euler's…

A: The solution of differential equation using the Euler method is given as follows.

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A: Follow the steps.

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Q: z² = 15x² +5y²-30

A: Solution :-

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Q: 5. The dimensions of a cylindrical object are increased by a scale factor of 3. The volume of the…

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Q: (D5-11D4+19D³ + 115D² - 200D - 500)y = 0 Ans: y = C₂e-2x + C₂xe-2x + C₂e³x + ₂x³x + C5x²e³x

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Q: II. Solve the initial value problems given the following: 1. dy = if y(1) = 2 dx y-5 2. = xy if y(0)…

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Q: Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

A: Solution.  In cylindrical coordinates  x=rcos(θ)  y = r sin(θ)  z = z  0&lt;= r &lt;=1, 0&lt;= θ…