If the given is y = sec2t and x = sin?t. Determine its dx²° - (Show your complete solution in a step-by-step manner)

Q: x sin x dx = kr, then the value of k is equal to

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Q: Find the speed at the given value of t. r(t) = (sin(3t), cos(6t), cos(7t)), t = " 2. II

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Q: ANSWER iv dx ANSWER S sin(ax) cos(ax) dx

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Q: • Tt X 2. sin? cos cOS dx 2 2

A: To solve this I have used the Beta Gamma Integrals. Some of the Results which I have used is given…

Q: Question 7 If the solution to Je2x sec²(e2x*1)dx is equal to ktan (e2x+1) + C, find the exact value…

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Q: Given: y = cos 2ax + 5. find dy.

A: Option 1 is the solution Given,  y=cos(2ax)+5 dydx=ddxcos(2ax)+5      =ddxcos(2ax)+ddx5…

Q: Which of the following substitutions will convert the differentia equation to a Bernoulli equation?…

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Q: dy - y = x y2 In x dx

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

A: True.

Q: 4. y = csc x sin x + (sec? x + tan²x)

A: I have stated the used formulas in the solution

Q: If y=tan(arcsec/x), then dy/dx is none of the given choices sec²(arcsec/x) B -1 2(x-1)…

A: Derivative problem

Q: solve the bernoulli equation dy/dx+y = y^2(sinx+cosx). and show that the answer is y(cosx+Ce^x)=1

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Q: 3. y = tan(sin 2x)

A: Please see the answer below.

Q: TT/2 S,"/e cos?x.sint x dx in tegralinin bulunvz sonucunu

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Q: dy ,2,,2 1. х + 3y = x?y? dx

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Q: 2) Find of the following equation then simplify whenever possible. and dx dx2 x = 1+ Sin t y = Cos?…

A: The given parametric equation,   x=1+sin t, y=cos2t

Q: y'+y = cos(e*

A: Given equation is: y'+y=cosex

Q: VE-1 x= sec?t b) Find for y = dx sint

A: y=t-1sintDifferentiate w.r.t 't'dydt=sint·12t-1-t-1…

Q: Solve the following Bernoulli equation: dy dx = 4y-2 y?

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Q: The equation of motion of a particle is given by s = 4 sin(Ct2 + πt), where C is a constant. Find…

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Q: Find the general solution of the following equations? 1- x2 + sinx – y = 0 dx

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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: Given [2r + y cos(ry)] dx +r cos(ry)dy 0. Show that the equation is exact and find its solution.

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Q: Given the equation 5 sin 6xy = 3, evaluate dy Assume that the equation implicitly defines y as a…

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Q: Solve the equation dy + (cot t) y = sin t dr

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Q: Find all solutions in the interval [0,2π). Respond with DNE if there are none. sin(x)=cos(x)

A: To find the solution of equation sin(x)=cos(x) in the interval [0,2π).

Q: 2) Find and of the following equation then simplify whenever possible. d²y dx dx² x = Cos ß + Sin ß…

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Q: y? sec2x tan2x dx + y(sec2x + 2)dy = 0 %3D

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Q: Given a sin 6t and y = cos 6t, find the following derivatives as functions of t. dy/da 1 d'y/dx² =

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Q: (xy + 1)dx + x(x + 4y – 2)dy = 0 %3D

A: Given (xy+1)dx+x(x+4y-2)dy=0 Let the integrating factor be xαyβ Multiply both sides by xαyβ , we get…

Q: If y=tan(arcsec/x), then dy/dx is sec2(arcsec/x) A 2х B 2(x- 1) c) none of the given choices sec…

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

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Q: Given x = sin3t, y = -cos3t, then find at t =. %3D dx а. 1 b. 3 с. О d. 2

A: We need to find dy/dx.

Q: Solve the following Riccati equation dy _2 cos? x – sin² x + y² 2 cos x y1(x) = sin x dx

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Q: How many parameters do we have in the equation y = a cos bx + c sin bx + 4

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Q: When x* cos(x?) dx is evaluated using IBP, the value of v du is?

A: Evaluate ∫x3cosx2dx using IBP ( Integration by parts) then ∫vdu is.

Q: The equation (sin 2.x- 2y cosx) dx = 2dy is linear O yes O No Bernoulli s equation can be…

A: All the questions has been solved with explanation in step 2 and step 3.

Q: If the solution to ſe2* sec²(e2*+1)dx is equal to k tan(e2x+1) + C , find the exact value of k... 1…

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Q: Solve the following Bernoulli's equation by using an appropriate substitution. sin y (x + sin y)dx +…

A: We have to solve the give Bernoulli's equation by substitution.

Q: Solve for the general solution of the following equations dy d. sinx+ ( cosx) y=sin( x²)

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Q: If y=tan(arcsec/x), then dy/dx is A none of the given choices x-1 2(х-1) sec (arcsec/x) 2x…

A: We have to solve as per usual question

Q: If the solution to fe sec (ex**)dx is equal to k tan(e**) + C, find the exact value of k 1. 2e 2e…

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Q: Choose the values that would complete the general solution for y = arccos (-1 ±2tk HIN O O O O 0

A: Given:     y= arccos-1

Q: Find the general solution (implicit explicit) to the following equation. or et y" – 2y' + 2y =…

A: We have to find the general solution of the differential equation y''-2y'+2y=exsinx.

Q: Identify the order and degree of the following equations. Order dy = cos X 1. dx

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Q: x?dx – /16 – x²(3y+y²) sin 2y = 0 - %3D

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Q: Find the general solution to the following equations: dy 2+ tan y dx

A: The given is the differential equation which can be solved as shown in step 2.

Q: 10. y = cos In 7x6

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