y(5-cos xey-y²) 2.xy +1 sin x dy 5-c -cos xe sin x d. xy + In y +ein x = 5x [Answer: dx or 2xy +- y

Q: 1. 6(x) = e- sin a, for y' + y cos x

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Q: |(4e + 5z* – 3 sin z)dx- O 4e² – x³ +3 cos x + c O 4e? +x³ +3 cos x + c O 4e² +x³ - 3 sin a + c O…

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Q: FIRd the general solution to y'" +(1) y"-12 y-0. None y c, e+c, sin(2-)+c 6 Cy Cos(2 0) y-c, oc…

A: Consider differential equation: a0yn+a1yn-1+.......+an-1y'+any=0 Write auxiliary equation…

Q: Given: a = 0 – sin 0; y= 1- cos 0 d'y Find: dz2 O d'y 1 dz2 (1-cos 0) d'y 1 %3D dz2 (1-cos 0) O dy 1…

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Q: 14. Find the antiderivative of 5sinx In 5 cosx. a. 5cosx +3 c. 5sin x In b. 5sinx-2 d. 5 sin x + 7…

A: Anti derivative of the function

Q: (cos r- sin r) is a particular solution to y" – 3y' +2y = e" sin x = x2 + 3x + 3 is a particular…

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Q: y=Sin x -37 30 Ly= cos x - 37 -2 77 ST 377 2. HN - 15

A: Answer is mentioned below

Q: r) x²(esinx) s) e*[ln (cos x)] (m sin 3x t) e2x x COS X u) ex リこ Sm

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Q: Use a CAS to plot the implicitly defined level surfaces in Exercises 73–76.

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Q: の x?. xy- yーx find %3D of 3 f Fex)こ X²+5x+2 Find f cl Q Let texl= goe) Find fezt ifgeziz=3_ find…

A: Differentiating the functions

Q: ). y² = 4x, 2x - y = 12 ). y = In x³, y = In x, x = e ):y = 2sin x, y = sin x from x = – to x : %3D…

A: As per bartleby guidelines for more than one part only first part is to be answered , please upload…

Q: L' (s²+4)(s²+9) 3 f cos(2a) sin[3(t – æ)]dx O b) cos(2t) sin(3t) c) None of these 1 * Só cos (2a)…

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Q: 2.L cos v5t 3V5 sin v5t 5 8s – 3 a. s2 +5 8s + 3 b. 52 +5 8s – 3 2-5 С.- d.none

A: NOTE: Refresh your page if you can't see any equations. . use the Laplace rule

Q: dy 30. Solution of 2y sin x dx TC = 2 sin x cos x -y´cos x, x = - 2 y = 1 is given by (a) y? = sin x…

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Q: (5e²+8x' +9 cos z)dr =. %3D O 5e? + x8 - 9 sin a +c O 5e? + x8+9 cos r+ c O e - x + cos z + c O 5e +…

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Q: f SSR5e -27 sin(5x)y cos(2y) dxdy = f, 5e-2¹ sin(5x) dx f2, y cos(2y) dy where R = [-1, 1] x [1,2].…

A: This is a double integration problem

Q: (4e + 10z-3 sin r)dr =. O 4ez + x10-3 cos T + c O 4e + x +3 sin a + c O 4e* + x10-3 sin r + c | O…

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Q: 012 (01 अति लघु उत्तरीय प्रश्न dy ज्ञात कीजिए- dx 1. ax +2hxy+ by = 0. 3. 2x+3y sin y. %3D 5. ax+ by…

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Q: 22 3x'y = 2ty- 3). 23 (2y cos x + sin* x) dx sin x dy; when x Ans. y= cty- 3) exp (x n, y = 1. %3D…

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Q: |(4e" + 8x7 – 7 sin æ)dx = - O 4eª + x³+7 sin x + C O 4e% + x³ – 7 sin x + C - O 4e* x8 +7 cos x + c…

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Q: 8. Find the general solution: y cos dx + (ysin - x cos)dy = 0 a. ysinž =c b. x sin = c c. x? - xy…

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Q: y = | 9t cos (t10) dt O A. 9/x cos (x°) B. 10/x cos (x) Oc. cos (x) 2 OD. 9 cos (x) - 9/ã sir D. 9…

A: on using the test we get option (D)

Q: bläi 6 Q/ By using substitution z=x+y to make the D.E. dy/dx=(x+y)^2 separable :equation, the…

A: The given equation is; dy/dx = (x+y)2 and substitute x+y = z.

Q: I (1-x) y"- 4xy't 5x = cos x 2 d + tx=0 3. to ylm) _ t° y" +6y = 0 4. x + Y =0 dx 5. x y' - 4 seny =…

A: Linear equation means independent variable is in linear. That is independent variable is free from…

Q: y2) = Br* -cos x. %3D A. 24x2 B. 24x + sin x+2 Given h(x) = -sec²x, determine the general…

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Q: 41. * + 4x + 5x = 8 sin t ; when t = 0, x = 0, x = 0. Note that i = is a common notation when the…

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Q: Given: x = 0– sin 0; y = 1– cos 0 d'y Find: dz2 d'y dr? (1-cos 0) CO d²y dr (1-cos e) (1- -cos 0)…

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Q: dy 1 dx 3 1 -sin x 3. Find the general solution of +cos(x)y = -e"sinny-². +-cos(x)y 3

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Q: (4e" + 8x7 – 7 sin r)dx: O 4e" – x8 +7 cos x + c O 4e" + x8+7 cos x + c O 4e* + x* – 7 cos x + c O…

A: Explanation of the answer is as follows

Q: * (s in-(x))² dx = V1-x2 Select one: а. sin-(x) + C 1 - x? b. (sin-(x))³ + C 3 C. sin-V1 - x²) +C O…

A: With the help of substitution method, integration is solved.

Q: 13. (D² + 4)y = 0, when x = 0, y = 4, y' = 0 a. y = 4 cos 2x – 3 sin 2x b.y = 4 cos 2x + 3 sin 2x…

A: As per the instruction, we will be answering only the first one. For (13), The characteristic…

Q: 12) dy dx - = x cos (6x²), y(0) = 7 A) y == sin (u) B) y = sin(6x2) + 12 C) y = sin (6x²) + D) y -…

A: In the question we have to solve the differential equation. Bartleby's guidelines: Please post…

Q: 3. у(3x3 — х + у)dx + x?(1 — х?)dy 3D 0 4. у(2х — у + 1)dx + x(3х — 4у + 3)dy 3D 0 5. (r + sin 0 –…

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Q: 8. (D² + 100)y = -300 %3D a. y = C, cos 10x + C2x sin 10x - 3 %3D b. y = C1 cos 10x + C2 sin 10x- 3…

A: Solution: (D2 +100)y =-300 The Auxiliary equation is m2+100 =0 m2 = -100 m= 10i , -10i

Q: 24.sin x sin y + cos x cos y y' = 0 ; x ="/4, y = 5t/4 25.y' %3D х — 4ху ; х-D0, у312 26. x(x? — у?…

A: Given that: sinx.siny+cosx.cosy.y'=0;   x=π4, y=5π4       NOTE: As per our answering guidelines, we…

Q: 6. y" + y= e* +x° y(0) = 2, y'(0) = 0 || Ans. y=- 3 COS x + 11 sin x + e* + x° – 6x 2 X | -

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Q: |xV4 - x dx x(x – 1)10 dx 43. 44. /* + 1°d – »° dx (x + 5)(x – 5)'/3 dx (x + 1)²(1 45. 46. |3x*VF +…

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Q: A particular solution for y"+2y + y = 1- cos> Select one: а. A+ Bx cosx + Cx sinx O . A + Bx2 + C…

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Q: Using appropriate substitution dx 4 (x+ 1)2 - is equal to -/4-(x+1)2 – sin- (*) + C the above…

A: Given problem:-

Q: The general solution of xy" – 2xy' +3y = 0 for x +0 is y = %3D 이미이2e1 cos( In |z|) + c2 sin(1In…

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Q: (D² + 1)y = 10 e²*; when x = = 0, y = 0, y' = 0. ANS. y = 2(e2* - COS X 2 sin x).

A: NOTE: Refresh your page if you can't see any equations. . the auxiliary equation for the…

Q: y' cos x + y sin x = 2cos x sin x- 1 What is the particular solution when y(Tt/4)=3v2

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Q: 3n 2n n S " S"(sin x + cos y)e? dx dy dz 2n 'n A. 2n(e2n + e3™) в. 2п(е2т — езт) c. 2n(e3™ + e2") D.…

A: Given: I=∫2π3π∫π2π∫0πsinx+cosyezdxdydz   We know that; ∫sinxdx=-cosx+C∫cosxdx=sinx+C∫exdx=ex+C And…

Q: 1. If x-y? = 25, then y" = %3D a.) b.) c.) - d.) - 2. If y = cos(3x+1), find y' a.) 3 sin(3x+1) b.)…

A: Given:   (1) x2 - y2 = 25    (2) y = cos(3x+1)

Q: Solve the DE X V1-y2 dx – (9+x4) dy=0 A tan-(x2/3) – 2 sin-'(y) =C (B In (9+x4) – 4x2 sin-1 y=C © In…

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Q: 13) y = 4c°(sin 0 – cos ) A) 8e® sin e B) 0 ) 4e0(sin e – cos e) + 4e® D) 8e®(sin 0 – cos 0) 14) y =…

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Q: Solve the separable equation y(3+ sin(x²))dy = xcos(x?)dx subject to y(0) = -Vā where a > 0 is a…

A: Given that, y3+sinx2dy=xcosx2dx

Q: (y + 1) dr - (rv +r- 3y-3) dy = 0, when x 5, y = In 4 O y = (x - 3) D y = In (2x - 6) %3D O y = In…

A: Topic :- Differential equation  correct option y=ln(2x-6)

Q: 1. y = x - x'cosx + 2xsinx + 2cosx 2sim x-1 2. y= cosx+2 3. tan(xy) + xy = 0 4. y= x 5. y = xArctanx…

A: The given function is y=xcosx. We know that duvdx=udvdx+vdudx.

Q: III. EVALUATE THE FF. ITERA •rU/2 ptan y sec y 1. . x' cos ydxdy Jo . cosy sin2x dy dx xp, •3n /2 pn…

A: