sin x Q6)1- Evaluate JI dxdy (2 dy 2-Solve x sinx %3D dx +3y =

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A: First we find CF and then PI(by using the formula of PI of sin(ax)) and further find general…

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A: Given differential equation is : D2+6D+16y=sin4x To find the general solution.

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A:

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A: ⇒sin2x+2sinx-3=0⇒sin2x+3sinx-sinx-3=0⇒sinx(sinx+3)-1(sinx+3)=0⇒(sinx-1)(sinx+3)=0⇒sinx-1=0  OR…

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Q: If y = (4x) sin ( 3z) then %3D dy dx (Be sure to express your answer in terms of x)

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Q: If y = (3x)sin (2æ) then %3D dy dx (Be sure to express your answer in terms of x)

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A: Since you have asked multiple questions in a single request, we would be answering only the first…

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A: As per the bartleby guidelines for more than one question only one has to be solved. Please upload…

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A: Given  The integration is I=∫0π2sin3x cos3x  dx.

Q: Number 23

A: we have to find definite intregral of given question

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A: Consider the integral ∫(√x)sin2 (x3/2 - 1) dx.

Q: Find the General and Particular solution of = -8 sin 4x ; y = 6 when x = o dx

A: As there are multiple questions, first one is solved here.

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A: Given differential equation is sin x sin y dx+cos x cos y dy=0

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A: Given, ∫sin53xcos3x-25dx We have to find the integration.

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Q: 2. The suitable Trignometric substitution that solves fx(x-2) dx is (x-1)=sin 0 x-1)3sec0 (x-1)=tan…

A: We can find the answer as below.

Q: Find a particular solution to y" +4y = - 12 sin(2t).

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Q: 1. § e sin 4x cos 4x dx 2.5 dx Se-2x dx %3D

A: 1) Given:                ∫esin 4x cos 4x dx Apply u-substitution: u=sin 4x⇒du=4 cos 4x dx…

Q: sin y = cos x (2 cos y– sin²x)

A: Given siny dydx = cosx (2cosy - sin2x)siny dydx -2 cosy cosx = - cosx sin2x…

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A: Sin-1(dy/ dx) = x+y =&gt; dy/ dx = sin(x+y).

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Q: Q.2 Find [(x' +5x² – 2) sin 2.xdx . c Inx

A: According to Bartleby Q&amp;A answering guidelines I can answer only one question

Q: 1. S x+cos 2x dx x2+sin 2x 2. Sxe**(ex² + 1)'dx

A: According to the definition of definite integrals, if dFdx=f(x), then ∫f(x)dx=F(x). In this problem,…

Q: 25. æ sec (a²) tan(æ²) dæ | sin? x dx (Hint : cos (2x) 26. 1 27. dx 4- (ӕ — 1)? 1 dx 9x² + 25 28. dx…

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Q: (27) Solve (1+y²) | n = (tan'y-n)·dy

A: The general solution geometrically represents an n-parameter family of curves.

Q: d?x + 4x = sin2t Q5: Solve: %3D dt2 Using variation of parameters method?

A: Answer

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Q: dt dx 3. 6x – x² 4. sin xV1 XN Cos xdx 3x 5. 1-2e3*) 6. dx

A: We solve only 4th question.  Let 1-cos(x) =t

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A: a) Given integral is ∫11+sinxdx

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Q: The solution of Sinx dx - x sinx+ y cosx= 0 is (y– 1) sinx =? A C-x sinx B C+ x cosx с-х cosx D C+ x…

A: sinxdydx-xsinx+ycosx=0sinxdydx+ycosx=xsinxddx(ysinx)=xsinx

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A:

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Q: Find a particular solution by inspection of d²y dx2 +y = -7+e* + cos 2x – 10 sin x

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Find the General and Particular solution of = 8 sin 4x ; y= 6 when x = 0 dx Find the General and…

A: The given equations,1.dydx=8 sin4x ; y=6 when x=02. dydx=4y ; y=3 when x=0

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A: Given, The differential equation, dydx =x2 +cos2x  We have to solve the differential equation by…

Q: 2. Is it possible to write sin (37x) as a linear combination of sin(2rx) and sin(Tx) for all values…

A: