If the given linear DE is (y – cos² x)dx + cosxdy = 0, what is the integrating factor? Select the correct response: 1 - sinx secx + tanx secxtanx secx

Q: Solve the following equation using integrating factors found by inspection. 2. y(x3 - y)dx - x(x3 +…

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Q: To obtain the General Solution of si What will be the form by separation of variables? cosv A)…

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Q: 2x cos(2x)dx

A: Given : ∫2xcos2xdx

Q: Find the particular solution, Using the integrating factor method: dy + In x =- dx y where y(1) =3.

A: Solution: The objective is to find the particular solution to the given differential equation.

Q: (x² y3 + 2y)da + (2.x – 20° y²)dy = 0

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Q: Determine the integrating factor of the Bernoulli's equation given pelow: dy -y cot2x = y' csc2x dx…

A: ................(1) substitute take derivative .................put it back in equation 1

Q: The integration of ſ, Vx tan-'Vx dx is

A: Given that  The integral is

Q: Obtain the general solution using separation of variables. dz = a(cos 0 dz + z sin 0 d0) %3D

A: Separation of variables.

Q: Find the particular solution, Using the integrating factor method: dy + In x =-y where y(1) = 3. dx

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Q: A. Integration by parts o (3t + t*) sin(2t) dt

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: The linear approximation at x = 0 to sin(9x) is A + Bx where A is: and where B is:

A: Given fx=sin9x Differentiate fx=sin9x with respect to x, we get f'x=ddxsin9x=9cos9x Hence,…

Q: . Evaluate using integration by parts 8. (5x - 3) sin(12x)dx = TC 6.

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Q: The integrating factor of the LDE y'=x-2ycotx is A B с D sin²x sec²x csc²x cos²x

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Q: (6xy)dx + 4y +9x ² )civ = 0

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Q: What is the integrating factor of 2 (y – 4x²) dx + ædy = 0? | Oe O 2r

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Q: 3. Integrate the following dx (i) V9 – x² (ii) ſe-3*cos4x dx (iii) ſ sin³2x dx -

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Q: Solve by finding an integrating factor which has non-exact ODE and also find integrating factor from…

A: The differential equation is given as (xy2+y)dx-xdy = 0                        (1) Let the…

Q: If the given linear DE is (y – cos² x)dx + cosxdy = 0, what is the integrating factor? |

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Q: Which of the following is the integrating factor for dy + 2xy = cos²x. dx О а. 2 O b. 2x O c. Inx -2…

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Q: Find the Integrating Factor of dy OY + 2ytanx = sinx dx O a. sec?x O b. secxtanx O c. secx O d.…

A: Given, dydx+2ytanx=sinx....1 Comparing the given equation with the equation, dydx+Py=Q We get,…

Q: Find an integrating factor of the form x" ym and solve 93 dx 6x) (3y- dy 2x

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Q: dx 2а — У dt fip dt x + 2 cos(t)

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Q: What is the integrating factor of the non- exact DE (4ху+ 3у?-х)dx+x\x+2y)dy %3D0 ?

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Q: Find the general antiderivative of the given function. f(x)= sin (7y)+ cos (3y)

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Q: Find a set of solutions: Integrating Factors found by Inspection. 1. y(2xy + 1)dx – xdy = 0

A: Since you are asking multiple questions. So, we are answering only the first question. We have to…

Q: (5x )cos( - Jax + S, (5x – 15)cos( 1.5 a 1.5 1.5 dx

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Q: cos xdx (vii) S 5+sin2 x

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Q: 4. y? cos x dx + (4 + 5y sin x )dy = 0

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Q: Solve for the general solution of the given DE by using the integrating factors found by inspection.…

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Q: (b) Calculate e cos(Tx) dx using integration by parts as many times as necessary.

A: Given: ∫excos(πx) dx The formula for integration by parts is given as…

Q: dx 5 + 4 sin a

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Q: Find S x cos x dx by using integration by parts.

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Q: The linear approximation at x = 0 to sin (7x) is A + Bx where A is: and where B is:

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Q: Solve using determining the integrating factor: cos x dx + (1 + 2/y) sin x dy = 0. %3D

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Q: If we are integrating by parts and we have u = x² and dv = cos xdx, what are du and v?

A: given u=x2 and dv=cosxdx

Q: determine an integrating factor for the given DE? (−xy sinx + 2y cosx) dx + 2xcosx dy = 0

A: we have to find the Integrating factor of the given differential equation

Q: Find the integrating factor that converts the equation below into an exact equation y de + (2x – y…

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Q: r nosへSう'" ( メンン 2 COS(SIn (x))

A: Let, cos(sin-1x)=t⇒sin(sin-1x) 11-x2dx = dt⇒x11-x2dx = dt...(1)

Q: Find the integrating factor that makes the equation xy^3+(x^2y^2+1)dy/dx=0 exact.

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Q: use the integrating-factor method

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Q: The linear approximation at x = 0 to sin(7x) is A + Bx where A is: and where B is:

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Q: Find an integrating factor depending only on x that will make 2ye 5x* 3 sin y + 5xex + dx + (x cos y…

A: Given:            Let the differential equation is in form 3siny+5ye5x+2ye5xxdx+xcosy+e5xdy=0…

Q: 3. Find the solution to the equation 2ydx – 3xy*dx - xdy = 0 using integrating factor by inspection.…

A: First we find integrating factor to make it exact differential equation.  Then find it solution.

Q: dw Find dx where w = cosz- cos 4x cos'4y + sin 4x sin 4y and z= 4x+ 4y. dw 口

A: lfirst put value of z and then expand cos term Now we get Zero whose derivative is zero

Q: What is the integrating factor of the nonexact DE (4xy + 3y – x) de + æ (x + 2y) dy = 0?

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Q: Find the antiderivatives |x In(x²) dx + sec? x dx CO X dx sin5

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Q: Find the integrating factor for the equation dy + sin(3x)y 223 dr

A: find the integrating factor