cln 3 3 že*V1+e*dx =

Q: y(ln x – In y) dx = (x ln x – x In y – y) dy %3D - -

A: This is the question of differential equations.

Q: 2 y

A: According our guidelines i solve only first question.For second solution please resubmit again…

Q: 2) dx Ve -1 a) 2 vezr - 1 In (e – 1), c) arctan (e), d) sec-le

A: We need to solve the integral

Q: e particular solution of the differential uation x^2 dx - (y+1) dy 0 if y(0)=1 2y^2+3y-6x^3+6= 0…

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Q: Separable DE) y'ln² y + y√√x=0 y(0) = e

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Q: 5 0 2x +2 dy dx dz in the order dz dx dy 0 -1 0 5 0 2x+2 0 -1 0

A: Given that ∫05∫-10∫02x+2dydxdz The objective is to show that, ∫∫∫dzdxdy In the interval,…

Q: Latel I, Vx2 + y² dV,

A: answer is in next step

Q: dx 3/2 ca

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Q: (a) Area = ſ dx dy (b) Area = = [[ JJ dy dy dx

A: Follow the procedure given below.

Q: (A) Find the integration factor of the linear differential equation y' −2(tan x + x)y = xex

A: To find the integration factor of the given differential equation.

Q: Integrate (a) S2(* dt (b) S(x+1)³ dx (c) cos(-x)(x²)dx

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Q: 2. (2.xy – sin x}dx+ (x² - cos y ldy =

A: We will solve the given differential Equation.Below find the solution in the image.

Q: 2. (1+Inx)dx +(1+Iny)dy = 0 when y( - 2) = - 1.

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Q: 3 dy 5+ dx2 dx O degree 1 and order 3 O degree 2 and order 1 O degree 2 and order 2 O degree 3 and…

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Q: 3e"dx 3x 1. 3x – 16 2. x 10 – 3x°dx 3. / In (cos®) an@ de 3.

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Q: (d) Ln 8(t – 2) sin at dt (h) 0 ex-1) cos 4 (x – 5)8(2x – 3) dx

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Q: 1. S e sin 4x cos 4x dx 2. S dx Je-2x dx e 2x

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Q: 4 I. dx3, (d³y\ dy + 2- dx = sin x *+ O) + = In y. 3 II. dx dx dx d³y III. dx3 d²y , dy -2 + dx2 = x…

A: To identify which of the given differential equation is linear.

Q: 4. (y² cos x - 3x²y - 2x) dx + (2y sin x – x³ + Iny) dy = 0, when x = 0, y = e %3D

A: Note: According to our expert guidelines only one individual question is to be answered, kindly…

Q: 2 Solue Bor メ= o-5 dx = y X (6) = 0 dt dy =_X yo) =I %3D

A: As per bartebly Guideline we can solve only one question.. Hope you understand

Q: 2(1-z) Evaluate S-" ==-2) dy dx dz

A: THE EXPLANATION HAS BEEN GIVEN IN THE ATTACHED FILE.

Q: dx +4x = 2e 3 , x(0)= 5 dt (d) dx +4x = sin 2t , x(0)= 0 dt (e)

A: Laplace transferom, solve the differential equation by using Laplace transferom

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

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Q: dy ycosy dt ||

A: Firstly we draw the graph then draw a phase line.

Q: +(g-1)dx -t +(2xy-Siny]dy=o

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Q: b) y = [ dx Integrate. 13 +5

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Q: Q2. Solve y [xcos (e)- + ysin (:)] dx – x [ysin 2) – xcos (2)] dy =

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Q: zln x dx 2) S 3 cos3 x sinó x dx 3) 12.1 dt 13. 3t + 2

A: Explanation of the answer is as follows

Q: Find the general solution of dy (y2 + 4) In x In(y2 + 4)"* %3D dx

A:

Q: 3) Find dy given 3xy = In x. dx

A: Given  3xy=lnx To find dydx   implicit differentiation is used Both sides have to be differentiated…

Q: dx 25. Integrate: S Ve-2x –1 А. Sec-1e* + С В. Sec-1е-* + С С. — Sec-1e* + С | D. —Sec-1e-* + с

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Q: Vsin x.cos x 1+ 2.ln x 3y (аns.: 4

A: Given                   y43= sinx cosx1+2.lnx

Q: Solve eqetions sto chastic differential @dX = (-ax,+p)dt Xo=70, O dY = pt Ye dt +

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: What is a particular solution to the differential equation 2y dx – 3x dy = 0 when x = 1 and y = 1?…

A: This is Separable differential equation

Q: Find dx (e3t + 1)dt. -cos(3rx)

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Q: (x – y ln y + y ln æ)dx + x(ln y– In x)dy = 0 - - %3D

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Q: 3. dy/dt = e e- -∞ <yo <

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Q: 1. siny dx + (x - sin² y)dy=0 2. x + ( 1+x)y = e -× sin2x dx

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Q: y = 3 Arccos ( 1 -)+ v6x – x² y= In (*+1), (x+2)3 x²(x+1), e2x-e-2x y = e2x+e-2x

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Q: 01 ation. Solve (1-x²)x+m²y=0 dx where x = 0, y=0, dy- dx

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Q: 1 O Integrate -dx x(1+/In x)

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Q: 37) y = 9 ln x √ 0 0 te the integral. cln 3 38) et dt e2x dx

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Q: • 1/2 3x2 Calculate the integral: dx 3/2 (1 – x²) 2 0. а) О3/3 + 2 b) O v3 2 V3 - 6 d) O v3 + n e)…

A: This question related to integration.

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

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Q: (In x) dx Integrate: 1

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Q: 34. e4x cos 2x dx

A: Solution:Given∫ e4x cos 2x dxFormula:∫udv=uv-∫vdu∫sin ax dx=-cos axa+C∫cos ax dx=-sin axa+C∫eax…

Q: B. Integration by Parts 1. xcosx dx

A: We know that integration by part formula is given as  ∫uv dx = u∫vdx - ∫dudx∫vdxdx To evaluate: ∫x…

Q: 1. Integration by parts: 2 3 .5x X°e dx

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Q: - if eV = In(x) + In(y) + e³ ху 3 Find dx

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Q: dx + dt? dx +x = 2 dt x, dt6 dt3 = of this differential equation is 9, help (numbers) tion is Choose

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