To apply the method of variation of parameters to find a solution y = v1 Y1 + v2Y½ of the DE y" +y = In (t), we need to solve the equations v, sin (t) + v½ cos (t) = 0 and vị cos (t) – v, sin (t) = In (t) for v and v, and then integrate to find vi and v2 . [Hint: All you need to know to answer this question are the solutions y1 and y2 of the homogeneous DE, and the form of the method of variation of parameters; no need to solve the equations!] O True False

Q: Select all that apply. Solve for x, 0 g x< 360. sin 2x - cos x = 0 O 150 270 O 30 90

A: sin2x-cosx = 0 solve for x 

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Q: End the solution and dyined the interpal at which function is depince dx

A: Given that xdydx+y=1y2Solution :xdydx+y=1y2xdydx=1y2-yxdydx=1-y3y2y21-y3dy=dxx∫y21-y3dy=∫dxxlet, 1-y...

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A: We will find the domain in interval notation. 

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A: Solution is given below:

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A: Given curves are x=6y2 and x=4+5y2 Sketch the region and find the area

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Q: Complete

A: Please refer to the image below

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A: sinBsecBcotB  secB = 1/cosB  cotB = cosB/sinB  So now put all this value in given function  sinB(1/c...

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A: Here, the given DE is: dydx-2y=e2x...(1) y(0)=1 Comparing (1) with dydx+P(x)y=Q(x), P(x)=-2 &amp; Q(...

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A: topic - logarithmic functions 

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A: Cooling

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A: We can find the integration as below.

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A: You have asked multiple questions and not mentioned  which question answer you need . According to b...

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A: Solution is here

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A: a.

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A: In this question we have to find whether it is true or false.

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A: If value of integral is finite then convergent otherwise divergent

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A: Find your answer below 

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A: To determine which of the following statements afout the definite integral is/are false. I ∫-aa fx d...

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A: Given,            limx→π62sinx-16x-π

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A: We know that; The trigonometric identitites; 1). sinx=1cscx 2). sin2x+cos2x=1 3). cotsin-1x=1-x2x   ...

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A: Given that ∫-∞02x-x3x-12x2+1dxSolution :2x-x3x-12x2+1=Ax-1+Bx-12+Cx+Dx2+12x-x3x-12x2+1=Ax-1x2+1+Bx2+...

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A: Answer to given problem is shown below -