tan xdy (x tan x + In y )dx 2. y

Q: cos’x sin x dy + (y cos³x – 1) dx = o %3D

A: We have to find the solution of given differential equation

Q: Evaluate the integral given below

A: To evaluate the integral given below, ∫∫Rcosxsin2ydA, R=0,π2×0,π2

Q: 19-x Evaluate ,* sin(x + y*) dy dx

A:

Q: y' + y tan x sin x cos With y(4) = 0

A:

Q: (5-)dx ー3 2人 がー。 Sin(x) d X

A: 3)   ∫-34(5-x2) dx=5x-x24-34                                =54+3-16-94…

Q: Find I for y = tan(x) ||

A:

Q: dy/dx= tan^2 (x) / sec^2 (y), y=pie/4 when x=0

A: given,                 dydx=tan2xsec2y and           y   = π4 when x =0

Q: sin x dy 2. dx 2у x2

A: In this question we have to find the solution of the given differential equation.

Q: | – (3x² sin x + 2) dx In r dx Je

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

Q: (x tan x + In y )dx tan xdy + :0 y

A:

Q: sin x dx 1+ cos'x a/2

A: Consider the following integral:

Q: y'of y = e-2*sin 3x

A:

Q: x cos'(y)dx + tan y dy = 0, y(4) = 7 2. X COS

A:

Q: sin(x) sin(y)dx + cos(x) cos(y)dy = 0, y (0) = 2, h = 0.5, Find y (1) using fourth-order RK

A: 4th order RK method  yi+1=yi +16k1+2k2+2k3+k4Where ti+1=tn+h          k1=fti,yi,…

Q: sec?x tan y dy + sec?y tan x dx = 0

A: Given equation is       sec2xtanydy + sec2ytanxdx = 0

Q: xsin dx V1-x? 1/2 : Evaluate : x sinx

A:

Q: sin y dy dx If 1 for some a > 1, then the value of a is y 0 x

A:

Q: y' sin 2πχ 3Tycos 2πx

A:

Q: -(sin(xyz)) = O xô zô y

A: Partial differentiation of the function with respect to x means to differentiate the function only…

Q: [8] Find y' of e'sinx=y/x

A:

Q: 5. Evaluate sin y - dy dx y

A:

Q: 6. Find : (a) y = (x +5) tan 7x, %3D dx

A: Given :y=(x3+5)tan7x

Q: 1+cosx, dr r = 1-cosx' dx

A: Using derivative to find dr/dx

Q: dx. (a) [ cosʻ x+4 sin x (i) Evaluate Using the substitution ttanx

A:

Q: 8e sin(t=x] dx Evaluate

A: We have to use integration by parts here.

Q: sin(x) sin(y)dx + cos(x) cos(y)dy= 0, y(0) = 2, h = 0.5, Find y (1) using fourth-order RK

A: We have to find y(1) using fourth-order RK.

Q: sin If y = show that (1- x²) 1-x -1 x. d'y -3x dy drソミ0 dx? ーy=

A:

Q: 2. Integrate | sin x cos? x dx

A:

Q: QI: Find dy/dx for the following 1. y = (sin x + cos x) sec x 2. y 3. Y= (2 -x) tan2 x sinx+ cosx…

A: Product rule of differentiation:     ddx(f.g)=fg' + gf'

Q: dy (2x sin h -+3y cos h -) dx Зх cos h - 2 tan h 3 + ||

A: According to the trigonometric hyperbolic formula: tanh(x)=sinh(x)cosh(x)        ...(i) Distributive…

Q: sin x = x (1 + tan y). Find and provide solution for dx/dy

A:

Q: I) sin X dy dx Sin 2X - y Cos X

A: Explanation of the answer is as follows

Q: |- tan x da 1+ tanx IH Gos ó x - e ) da メ「メナ dx

A: "Since you have posted a multiple questions, we will solve first question for you. To get remaining…

Q: 3 tan (x) sec (x) dx T) sec (x)dr

A:

Q: Find dy/dx d) -1 x' + x.tan y= y

A:

Q: Find dy and simplify whenever possible. dx sec x+tan x 1. у 3 sec x-tan x 2. у 3 е * соs e * — sin e…

A:

Q: F(x, y) = 3x – 4y3 + 5x°ys + cos(x) – 3 sin?(y) |

A: Given query is to find the partial derivative onnf the expression.

Q: sin x dx 2+ cos x 4. - T

A:

Q: 3- dx for y x sinx is equal to: a)2x cosx b) 2x sinx + cosx 2x c)x cosx+ sinx 2x

A:

Q: Find y' and y". y = cos(x?) y' - -sin (x²) ( 2x) y" =

A:

Q: tan x 2. (D'+) y %3D

A: We are allowed to solve one question at a time, since you didn't ask for any specific question so…

Q: I sin(z) cos I) COS(2C (x) dx %3D

A:

Q: dx I [; (1-2x) I= [sin (4x) cos(4x)dx (In(x))3 dx I

A: Given

Q: + yž = 1, when x = 0, y = 4 dx cos(x + y), when x = 0,y =" dx

A: The objective is to find the solution of the differential equation.

Q: e* sec (e* +1)dx tanle* +1

A: We need to evaluate ∫ex sec2(ex+1) dxtan(ex+1)                              (1) Let tan(ex+1) = t On…

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

A:

Q: y = sin(x), y = 5x, x =

A: Given, y =sin x , y=5x To find the area of the region

Q: (5-)dx Sin(x) d X

A: Since we have multiple question we are suppose to do only one. Kindly repost the other question as…

Q: sin?x d Prove that 2sinx dx \(1+cosx)² (1+cosx)²

A:

Q: y = tan x sin (2x)+cos (2x) 2 y' = A sin (Bx) + Ccos(3x) 3. A = B = C =

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…