sin(2t + ) dt e21-3 4 7 4 4 64e 7

Q: Find the solution to the Bernoulli Equation. (3siny - 5x)dx + 2x²cotydy=D0 O x³(siny- x)2 = Csin?y O…

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Q: 1. Test for exactness and find the particular solution of dx + + dy = 0 (1 – xy)? (1 – xy)² |

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution is: ∫Mdx⏟Take…

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Q: z 3e*3S,y 3z2 + sin(z)s G dx

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Q: 2) 1 y = ²+² x= cos(t). y = sin² (t).= =-. at t = 3 t

A: Solution of the given problem is below...

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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: 1) = sinx + ytanx dy dx 2) x = y + x sin? 3) Prove that (2xy – 9x2)dx + (2y + x² + 1)dy = 0 is…

A: 1   dydx=sinx+ytanx        the equation can be written as standard form        dydx-ytanx=sinx…

Q: 2n X f(p sin()cos(0) p sin ()sin(e) • p cos(o) p'sin (4) f(x, y, z) dV = dp de de Jn/2

A: SPHERICAL COORDINATES : The spherical coordinates are : x=ρsin θcosϕy=ρsin θ sinϕz=ρcosθJ=ρ2sinθ…

Q: A: Compute dy at (2, 1) where y = xcos2x dx B: Solve for x: a2 (y³ + vx-4 +y sin2x) < 4cos2r Тдхду…

A: Please see the answer below.

Q: If z + In(e2x - e + e²) = 0 dz find at the point (0, 0) dx 2 0 -3 -2

A: see below the calculation and answer

Q: Find the general solution of (1+ cosy)dx - xsin ydy = 0. a. X - sin y - x cos y = C b. x + sin y +…

A: The solution is given as

Q: (ii) o S(2xy + z)dx dy dz z=-1 :0 Jx=1

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Q: 6. General solution is y = x² In x + Ca² , EXERCISE 6. dy 2y = x? dx

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Q: f(t) = e2t cos 5t S- 2 (s – 2)² + 25 2s + 4 s(s² + 4) %3D Ans. f(t) = (sin t –- cos t)² %3D Ans.

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Q: (ii) G(x) = | (t + 2t%)²dt, (iii) H(z) = x² + / t dt, 1+ sin t

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Q: 13 |X + 3 1 O A. [ at2 + bt + c° dt2 + et +f O B. at + b ct + d O C.[ at2 + bt + c dt + e

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Find the general solution of (1+cosy)dx-x sin ydy = 0. (1) x – sin y – x cos y = C (2) x = C(1+ cos…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: (In a + 12x y cos a + x*y cos x)dx + (8xy cos x + 2x"y sin x)dy = 0, 4 2 y(T) = 1/27 b. y da - a(a?…

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Q: (d) / x² – 5x + 2 dx = (e) . (1) (f) sin(x) dr. (g) V5t2 + 3t cos t dt =

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Q: general solution DE Xy" +y'+xy=o Find the of on co ∞)

A: The given differential equation xy″ + y′ + xy = 0, known as Bessel’s equation of order zero, has the…

Q: sin(2t + ) dt JT 2 e2t-3 -3 4 e3 7 7 64e3 7 8. 5 4 4

A: Proceed as shown

Q: 1. [* sin'x cos xdx parctan3/2 3secx 2. y dy dx 3. T y xpáp X 4. [S yz dx dy dz ea/4 2cose prsine 5.…

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Q: de Fe dt ax 10. Solve Osxsa, 1>0 subject to the conditions %3! e (0, t) = 0 (a, t) =0 and 0(x,0) =…

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Q: y' + 4y = e^(4t) %3D

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Q: Q.1. Use the differential dy to approximate ay when y=3x-2 and x changes from 2 to 2.03

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Q: y" – 4y" + 14y" – 20y/ + 25y = 0. Ans y = e"((c1 + c2x) cos(2r) + (cz + C4x) sin(2r)) - -

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Q: dy + 3y = 0, y(0) = 7 dx

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Q: What is the general solution of (D² – 2D + 5) y = 0 ? - y = Cie + C2e3 %3D y = Cie cos 2x + C2e sin…

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Q: 1 c2(1-z) Evaluate Sa-2) s(1-;-2) dy dx dz

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Q: 3. Integrate! 12e dt a) ] 5e041 -0.21 b) c) f- dx 6r dr 3r? .$1+ In 3x² d) [Vcot*0 •csc² 0 do 2+…

A: Using Methods Of Integration

Q: XZ 3) cos(x)-x²y + e + yz = 4, P (0,1,2)

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Q: 3n 2n TE S. (sin x + cos y)e dx dy dz A. 2n(e2n + e3) B. 2m(e2 – e3") c. 2m(e + e2") p. 2n(e- e")

A: For the solution follow the next steps.

Q: #3. Solve the fallowing Caucly problem in R" x(0,0) U4-Ou t cu = 0 u =9 On IR"x{t =0}. where c is a…

A: Given the Cauchy problem as  ut-∆u+cu=0,       in ℝn×0,∞           (1) re-write the equation (1) in…

Q: 15- " + ý +4y=2 sinh t y". Hint: sinh t = (et - e-t)/2

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Q: h of the DE's =)y = 2 sin² x ; y(0) = 0 , y'(0) =-2

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Q: b+2/va+1 Find the integral | ***1 +(-1)* (b+1)**Jx +(-1)**' x* -dx. a+2/ „c+1

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Q: 18 -14 dx dt 21 -17 with the initial value x(0) %3D 9 x(t) LO

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Q: 15- dy _y* -x diferansiyel denkleminin genel çözümü aşağıdakilerden hangisidir? 2ху dx x-y' =cx 046…

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Q: d's 元 =-4 sin 2t-- 2 s'(0) = 100,s(0) = 0 %3D dt?

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Q: sinh (z) = %3D e -e 2- e?+ez e2+ez 21 eiz +e-iz 2.

A: We need to find the value of the function sinh(z) Four options are given. So the solution to the…

Q: 3. Solve (2x + 3y - 7) x dx – (3x² + 2y - 8)ydy = Let x² = u y' = v Solve (x a sin y da) dy i (r.…

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Q: •ý -2ý +y= ě sinx %3D Ans: y=ě +2xě - ě sinx • ý -uý ruy = 12 /* %3D e 2X 2 ZX .2 +C2 X e + 20

A: As per our guideline we are allowed to do 1 question at a time. Please post other questions next…

Q: • T/2 /2 36 sint t cos t dt = 3°|E|| %3D -1/2 -x/2

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Q: 1. f sin(u-v)y(v)d(v) + y(u) = 10u 2. x"(t)-5x' (t) + 10x (t) = e-3t, x(0) = 0, x'(0) = 0

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Q: Q2// 1.5 I= S dx use Simpson's 1/3 rules, with n=4. 0.2

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Q: #3. Solve the fallowing Caucly problem in R" x(0, 0) Uf-Ou t cu =0 on IR"x{t =0}. U = where c is a…

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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…

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Q: ne differential ay of 'uonpuni y = V 5 - x2

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