1I) (3y cos(3x)dx-sin(3x)dy)/ y 0

Q: 211 211 cos nx dx= [cos %3D %3D nx cos nx dx =0.

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Q: Find the general solution of dy dy dx =sin 2x dx

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Q: O. p. S sin 2x cos 3x dx 3dx /1 + 9x²

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Q: dy 3. dx y – x + cos - -

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Q: 1. sin'y (2-3 cos y )dy

A: Given: ∫sin3y(2-3cosy)2dy

Q: ( 2x – sin y) dx – (x cos y) dy = 0 -

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Q: J cos 2x sin 3x dx

A: To find: The integral of ∫cos2x·sin3xdx. Formula used: Trigonometric formula: 2cosA·sin…

Q: y(cos 2x)e*y – 2(sin 2x)e*y + 2x + [x(cos 2x)e*y – 3] = 0 %3D dx

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Q: 23 Find dy/dx on the graph y3 sec/x2 + y2 = cos2x at point (1, 2).

A: Use product and chain ruleof differentiation at given value

Q: // sin(7x²) dx dy. Compute O y/3

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Q: cos 2x dx (b) 4 cos t dt 0 2

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: J cos 3x cos 4x dx :

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Q: Can you help me step by step?

A: According to the given information the given function is:

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

A: "Since you have asked multiple question, we will solve the first question for you.If you have any…

Q: y" + 4y = 4 sin(2x)+ 8 cos(2x), y(0) = 0, y' (0) = 1.

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Q: (- + 2 cos 2x ) dx + (- - 2 sin 2y ) dy = x2

A: You have asked multiple questions in a single request. As per our honor code, we will only solve the…

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

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Q: If y = cos 3X find dy/dx: y = cos?3x = (cos 3x?. (cos 3x )?. %3D

A: Given, y=cos23x=cos3x2

Q: 1 Cos(2x)dx 0. (i) Using composite Trapezoidal rule with n = 2, 4

A: As per the policy of bartleby the provisions is to solve only one question at a time So I am solving…

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

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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: dy Find dx if y = cos (4x - 3x + 1) s*(4x²-3x + 1)

A: Given that, y=cos4(4x2-3x+1)

Q: 3e" + 3x + 10 cos x + 2)dx .2

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Q: LE (4y³x² + Sin 2x + Cos²3y) dy dx 3.

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Q: Take the derivative of this integral.

A: Given

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

A: exact differential equation

Q: Find dy/dx of y sin -1). A 3. B 1-9r2 D

A: Y= sin-1(1/x)  and we have to find dy/dx

Q: -TL 4.) x² sin(xy) dydx

A: Given ∫0π∫01x2sinxydydx

Q: x3 Vx-5 у сos x. sin?x cos3x - Find dy/dx of

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Q: dx + 3x = cos(5t) dt with x(0) = 1. x(t) = %3D

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Q: 3x d. Evaluate dx COS cos (3t – 1) dt

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Q: Find the complete solution of ey sin x dy cos²x = 0 dx

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Q: If y = (2x² – 3x+4)(e¯* – cos 4.x), then find dy at x = 0 dx

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Q: -y cos xy - 4x) dx + (- x cos xy + 2y) dy o 1. = 0 2x+3y Zar+3y 2.

A: Proceed as shown below...

Q: y = (cos x-x4+ 1/x2)5 - In (3x+1)  Find dy/dx

A: =?

Q: ution of y" + 4y = cos 2x b

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Q: (一 - dx t - 3 X*cos(3)-4-2 ) -)dy=0 = 0

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Q: 7T, 0 cos( {*) cos(2y)dx 2gin( gx) sin (2) dy 77

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Q: 2. sin y(x + sin y)dx + 2x² cos ydy = 0

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Q: 5 Find *: (a) y = cos(11x + 2x) dy

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Q: y² cos x - 3x3y - 2x) dx + (2y sin x - x³ + Iny) dy = 0, when x = 0, y = e x² - 1) dy = ((1 + x)2 -…

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Q: 1. 2sin?2t dx = cos x(1 + cos 2x)dt 2.3e-3y dx – ee+xx-2dy = 0 3.x*ydy — ху?dx + 3ydy - 2xdx %3D 0

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Q: 6x³y cos(xy²) dy dx

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Q: b f sin'x. cos²x.dx ef cos(Inx).dx C-

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Q: +3x2. Find dy/dx if: (y)² = sin5(cos³(- -)) 2 %3D

A: Given: (y)2=sin5cos3x7+3x22 ----(1) To find: dydx Let u=x7+3x22 , v=cos3u w=sin5v Now equation (1)…

Q: 33. x= y 1 sin x dy dx = 1 – cos 1 0.460 %3D 0,

A: Given ∫01∫0xsinxxdydx=1-cos1=0.460We need to proove the above integral value.

Q: dx 2- Find dy of y = /cos-1(In (xy)) y %3D

A: Given: - The function is, y=cos-1(ln(xy))xy To find: - The derivative of the function, dxdy

Q: 25. (2y cosx + sint x)dx sin x dy , when x =y = 1 %3D %3D

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Q: If y = (4x² – 3x+ 2)(e2* – cos 3x), then find dy at x = 0. dx -2x %3D - -

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Q: (3e + 10 cos(x)) dx ntegral =

A: Integration problem....