(e² + In y + ) dz + (; +Inz + sin u) dy =0 2ta Iny+y ln z-cos y C O e² - = C a Iny +y ln z+ sin y

Q: 2x (c) Find z = 3 e* In y x = ln( u cos v) y=u sin v (u,v) = (2, π/ 4)

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Q: (a) Find the differential dy. y = cos(xx) dy = -T sin (Tx)dx (b) Evaluate dy for the given values of…

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Q: 3 3 4 Evaluate the integral S [(?+y?+?)dz dy dx. 0 0 0 3 3 4 S[?÷+²)dz dy dx=O 0 0 0 (Type a…

A: I am going to solve the given problem by using some simple calculus to get the required result.

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: y" – 4y' + 4y = (x + 1) e2* y - Ger + Cxe + (sin x - cos x) – 4x e* y = Ge* + Cze* +xq2* +x*o2*…

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Q: B. Homogeneous 1. у(x*+ ху - 2у') dx + x(Зу? — ху —х?) dy 3D 0 2. (x+y sin 2) dx-x sin dy 0 3. xy dx…

A: 4. Given differential equation is                            yx2+y2dx+x3x2-5y2dy=0 ;  x=2, y=1 now…

Q: B. Homogeneous 1. у(x+ ху - 2у?) dx + x(3у? — ху- х?) dy 3D0 2. (x+y sin 2) dx -x sin dy = 0 3. xy…

A: As per our guidelines we are supposed to answer only one asked question.kindly repost other…

Q: (e* + In y + ) dx + ; 10. + Inx + sin dy = 0 Answer: e* +x In y + y ln x – cos y = C

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Q: dy = [cotytant cosx dx cosy A siny?= sin2xln(csinx) (B siny= sinxln(csinx) siny= sin2yln(csin?x) D…

A: There is something missing in the given answer list.So The solution with correct answer is given as…

Q: 1- xy dy + (x² + y² )dy = 0 dx 2- 2. dy – y = ex/2 3- (x + 2y)dx – xdy = 0 dy 4- cosh x+ (sinh x)y =…

A: As per the guidelines we can solve 2 problems.

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: dy ,the differential equation xtan x + In y)dx +tan x dy =0 reduces to Using the substitutions 2 =…

A: Substitution in differential equation

Q: nd a pa CUlal solu on yp y"-y'-6y 3 cos 3x A particular solution is y, (x)=.

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Q: 3. dy - 2** + e 2x cos (x) + Cos(x) y Fuctor8 Integrating

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Q: Q3) f(x,y)= y'sin(2x)+x²(cos(y')) find fyyxy уууххху Q4) w(x,y)=x siny +x²- (2x²+3y)² find dw

A: It is partial derivative

Q: ysin2-xcos2x dy = 0 16. x cos + ysin2} y sin r cos Ans. xy cos y = a dx dy y+Vx +y? 17. Ans. y+Vx…

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Q: 36. Using the approximation dy dy h dr * Yn+1- y. and that dr 1, y = 2 when r 0. Then, y A h- 2 h+ 2…

A: Please see the answer below.

Q: f cos(mx) cos(nx) dx is equal to {A} [sin(m + n) + sin(m − n)] dx {B} [sin(m + n) - sin(m − n)] dx…

A: Let's find.

Q: d = cos(zx); y(0)=1 dx %3D a. y=sin(x) b. y=cos(zx) sin (x) C. y= 1 d. y=-sin(x)+1

A: Given, an initial value problem we need to calculate the solution:

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: Given (1+ 3x sin y) dx – x² cos y dy = 0 with y(1) = 0. Using Euler or Runge – Kutta method, what is…

A: Given 1+3xsin ydx-x2cos y dy=0....(1) with y1=0 We will find the value of fx, y to approximate y

Q: dy ycos³x + y² sin x dx (cos? x sin x + 2y cos x) A O 1/(cos a) .B 2sinx/cosx .C No integration…

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Q: -2x + 3x -x) dr- (sin y + y e (y e + +3y e) dy 0. x(0) 1 D 2r-- O 2y - y+ xr e O x+ 2x-y e-3y e+3e–…

A: The given differential equation is,(y2e-2x+3x2-x)dx-(siny+ye-2x+3yey)dy=0, x(0)=1

Q: 4.) (w° + wx²- x ) dw t ( x° t w? x - w) dx = 0 ( 2x +y cos xy) dx t x cos xydy COS X

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Q: Which of the following differential equations is exact? O (cos xy + xsiny) dx + (y – cos x + sin y)…

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Q: (a) Find the differential dy. y = cos(Tx) dy = (b) Evaluate dy for the given values of x and dx.…

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Q: B. (y + e*seny)x + (x + e*cosy)dy = 0

A: The differential equation is given as  y+exsinydx+x+excosydy=0 Compare it with Mdx+Ndy=0 to obtain…

Q: 1) y'- Sy of(4) t? ostL 2 ミf flel= ylo) =1 2) y"t Uy = ule - 2). sint y(0)=1 y'Co) =O >) F (t) + 2 S…

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Q: Find the general solution of the DE: sin(z+y)dr + [2y+ sin(x + y)]dy = 0 O A. y- cos(z + y)-C O B. y…

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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: (1-) 3 dy 3 1. + y da (5y – 2x)y' – 2y = 0. 2y sin(r) cos(r) – y + - 2y²e=y*) dæ = (x – sin°(x) –…

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Q: In |cxyl: 25 a(dy – dx) = x' dy + y dx; a constant. Ans. 2 arc tan (y/a) = In ¡c(x + a)/(x – a)|.…

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Q: h(x) = x² In(x) s(y) = In(cos(y) +2) a. с. %3D b. p(t) = In(t) et +1 d. z(x) = tan(In(x)) е. m(z) =…

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Q: 3. Find dy where; (x+y) =2 o) cos(xy)- 주+ ers + b) e+ u= xlax (use chain rule)

A: We have to find the derivative

Q: 32. Il sin(x + y) = x,'then dx A 1- cos(x+y) (cos(x +,pv) IB 1+ :aas(x + y) cos(x + v) C cos(x + y)…

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Q: 6. Find the general solution of (cos cos y +ycos x) dx+ (sin sin x – x sin sin y ) dy = 0 A. x cos y…

A: As per the guidelines I am supposed to do the first question among multiple questions. So I am…

Q: (A) Find the general solution to ONLY ONE of the following differential f ations (1) (sec(y))² y' -…

A: We solve the given ODE  (sec(y))2y'-3tan(y)=-1 ......(1)

Q: 1. (2xy-tany)dx + (x² – xsec?y)dy = 0; y(1) = r 2. [4x°cos(xy)-x*ysin(xy)- ye" +3x²]dx…

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Q: (2y sin a cos x – y + 2y²e#v° )dx – (x – sin² æ – 4xye*v* )dy = 0 Let M be the coefficient of dr and…

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Q: Find the differential dy: y = sin(x√³). Ody = COS cos (T√²³) [2√T™- 2 O 0 O (E) None of these…

A: A detailed solution is given below.

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: 2. Give an interval of the form (a, b) around r 1 such that the IVP has a unique solution. dy = sin…

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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: 5) (D de with constant coefficients G 6) (D-6D+9)y= Ans.: y=Ce" +C,ue" +*. 7) (D' + D)y = tan x.…

A: According to our guidelines we can answer only one question and rest can be reposted.

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

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Q: 1.) 201 4sin (x) cos (x) dx dy 0 y² + 1 [¹ylnª (y² + 1)

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Q: 11) e3x = sin(x + 8y) %3D dy A) - dx 3ex 8sin(x + 8y) 24ex dy B) dx sin(x + 8y) dy sin(x + 8y) -3ex…

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Q: 6. If z2 = x2y2 (where x, y, and z are positive), and dz then what is when x = 2 and y = 3, given…

A: Given problem:- If z2 = x2 y2 (where x, y, and z are positive), and dz/dt then what is when x = 2…

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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