4) sin x sin y dx + cos x cos y dy = 0

Q: 3(sin y- cos y)* dy cos y

A: We need to solve the integral ∫3sin y-cos y2cos ydy Now, we have an identity a-b2=a2+b2-2ab Hence,…

Q: (a) | (2x cos y + sin x) dx 6. */2 (b) I| (2xcosy+ sin x) dx dy

A: Solving integral

Q: 3. sin x cos y dx + cos x sin y dy = 0

A:

Q: 3. cos y sin 2x dx + (cos² y – cos² x)dy = 0

A:

Q: 5. Solve: (sin y – y sin x)dx + (cos x + x cos y – y)dy = 0

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Q: V. Show that: 1. [(cosx-sin x)'dx = x+ cos 2x +C 2.

A:

Q: 4. |1- sin2y dy 6. y +2)/y- 1) dy (y + 2)/y

A:

Q: 29. [sin (9y)sec (9y)dy

A: Use the formula sin2x + cos2x =1.

Q: - sinx) dx 2. 1. (COSX (ax' +b)*x dx 2. 2/3

A:

Q: 5y + sin y = x²

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Q: 4. (2y cos x + sintx) dx sinx dy 5. y' = 1 + 3ytanx %3D

A:

Q: tan x dy +y sin x dr = 0, when x = 0, y = | O y (3- cos 21) = 2 O y (cos 2x O y° (2 – cos 2x) = 1…

A:

Q: 3y dx 2 (2y In +3 sin y]dy =- + 3 Sin Y X+ 3

A:

Q: 2. cos x cos y dy-sin x siny dx = x² cos x sin y dx

A: The given equation is: cos x cos y dy-sin x sin y dx=x2cos x sin y dx Dividing it by cos x cos y we…

Q: [ 2x sin (4x)dx O =cos (4x) + C -x² 4 2 sin (4x) + 8x cos (4x) + C sin (4x) – x cos (4x) + C ○중cos…

A: Integration by parts

Q: 11) (3ycos(3x)dx– sin(3x)dy)/ y = 0 12) sin(ß y)dx =-ß cos(B y)dy

A:

Q: 2. [2x*tan y – ysin (2) – 1] dx + [xsin (2) + x*sec*y] dy =

A:

Q: 3x * y^4 = 5x * sin x + 4y ^ 3 * cos x + 5y * sin x

A: Given equation is: 3xy4=5x sin x+4y3 cos x+5y sin x

Q: (cos 2y-3x²y²)dx + (cos 2y – 2x sin 2y – 2x³y)dy = 0

A: Given : Differential equation cos 2y - 3x2y2dx + cos 2y - 2x sin 2y - 2x3ydy = 0   To find :…

Q: Find dy/dx 1. sin^−1(xy) = cos^−1(x − y) 2. sec^−1(2y cos x) = x^y

A:

Q: 4. (3sin y- 5x)dx +2x cot ydy = 0 Ans. x'(sin y-x) = csin²y

A:

Q: 9.) JE sin°(x)cos*(x)dx 11.) F sin°(x)cos²(x)dx 2

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: F(x, y, z) = (6x° sin(y) + cos(18z), xº cos(y), – 18x sin(18z) + 6z°)

A:

Q: cosxdx 17. - secx+ tan x [2sin(3x)cos(5x)dx 18. [(sin y +2cos y)'dy 19. 20. ſcot'(2x)dx 21. (sin“…

A: solution is given below

Q: 2 sin 2x dx Tcost x + 4 cos² x – 2

A: We will answer the first question since exact one was not specified. Please resubmit the question…

Q: 2. Cosh X y sinh x 2 cosh x sin dx dy dxxy = 1 5. (1-x)

A:

Q: 2. Evaluate: S(cos x)(In sin x)dx A. sin x (1 – In sin x) + C C. sin x(In sin x – 1)

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Q: cosxdx 17. secx+ tan x 18. [2sin(3x)cos(5x)dx 19. [(sin y + 2 cos y)'dy 20. ſcot'(2x)dx 21. [sin“…

A:

Q: 1- S7 cos(y)eSin(y)+9X dydx

A:

Q: sin(6y) sin(8y) dy.

A: Topic - integration

Q: 2. +4y= sin(3t), y(0)=2, y'(0) = 0

A:

Q: 5 dy of: y = |x sin 2 + tan (x") dx 4

A: Given function is y=xsin2x+tan4x75 We have to find dydx. Here, we have to use some rule of…

Q: Find and simplify the result whenever possible dx 1. y=x+sin2x 1. y = 4 1 sin' 5x 3 2. y sin5x - 3.…

A: Solving for the number 4:                                          4) y=3xcos(x3)-9 sin(x3)   To…

Q: 8. [(cos'y- sin'y)dy

A:

Q: (2) Show that y=x sinx is a solution to y"+y= 2 cos x.

A: To Show: y=x sinx is a solution to y''+y=2cosx

Q: ind the equation of the line that is tangent to y = 2x + sin x + cos x at x = 0.

A: NOTE: Refresh your page if you can't see any equations. . take x=0 the point on the graph is

Q: 4. [(3sin 2f – 3 cos 5t )dt 5. sin x dx cos x

A: 4) Given:            ∫3sin2t-3cos5tdt       =∫3sin2t dt-∫3cos5t dt taking constant out…

Q: sin(2x) dx+cos(3y) dy=0,y(π/2)=π/3

A: Consider the provided differential equation with given initial condition,

Q: 4. STT- COs y dy -COS

A: The objective of the question is evaluate the indefinite integral.

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

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

Q: 4. cos x dy + y(sin x – 1)dx = 0; when x = T, y = -2

A:

Q: (y2 cos cos x – sin x)dx + (2y sin x + 2)dy = 0 -

A: The given differential equation is first-order non-linear ordinary differential equation:   First we…

Q: 5) sinh(x)cos(y)dx = cosh(x)sin(y)dy

A: A differential equation (Mdx+Ndy=0) is exact if  dM/dy= dN/dx

Q: y"+4y=sin 2x, where y(0)=3 and y'(0)=¾

A:

Q: (8 cos x cos y + 4 sin x sin 2y + 1) dx – 8(sin x sin y + cos x cos 2 2y) dy = 0

A:

Q: find dy/dx 19) y=Sin" (5x' ) 24) y= Sin 2x.Cos2x 42) y = sinh (tan x)

A: These problems can be solved by the application of Chain rule.

Q: 1. (sin y — y sin x)dx + (сos x + х сos y — у)dy 3 0 %3D 2. (1— 2x2 — 2х) у' %3 4x3 + 4ху 3. (Зx cos…

A:

Q: 29. (csc x – sec x)(sin x + cos x) dx find + In 5 ) dx 30. 3 sinh .3 2x3 V1 + x² sin x dx 32. 31. dx…

A:

Q: 9. [sin Ssin' cos–dx 3 3

A: (9) To evaluate ∫sin5x3cosx3dx Substitute sinx3=u and cosx3dx=3du. Therefore,…