8 +10x-32+x? cos 2x 4 Find : (a) y = %3D x2

Q: 5) y"-y'-2y=x+cosx

A:

Q: y" - 6y' - 7y = cos2t sin t Find Particular solution %3D |

A:

Q: cos x -1 dx = ? 22n (a) (-1)". (2n) (2n)! 8. (b) (-1)". 22n+2 (2n+2).(2n+2)! n=1 n=1 2 19

A: Here we have been given the integral  ∫02cosx-1xdx

Q: 1. (xy' – y) cos ( 2у COS -3x4

A: Since you have asked multiple questions, we will answer the first question. If you need answer for…

Q: y" + 2y' = 4x – 5 cos(x).

A:

Q: 2e cos 2t

A: Given,       2elncos2t

Q: Solve: Tanxdy+ y°Sin²xdx=0, y(0)=1 а. у"(3-Сos2x)-2 b. у(-2х + Сos2х) -1 d. y(-1+ Cos2x) — х с. у?…

A: This question is related to differential equations, We will solve it using given information.

Q: 5. y= cos™ -1 = COS (2²)

A:

Q: Use Method of Undetermined Coefficients: y" - 2y' + 5y = 4e*cos2x +x2 2

A: We have given a differential equation ,  y'' - 2y' + 5y = 4ex cos2x + 52x2 First we will find…

Q: COs 2.r dx x² + 2x + 2

A: In this question, we find the principal value of the integral by using residue theorem

Q: Use undetermined coefficients method to solve b. y" – 2y' + 5y = e* cos 2x %3D

A:

Q: y" + 2y' = 2 – 5 cos(x), y(0) = 0, y' (0) = 1. %3D

A:

Q: 3. y" y'-y = cos(5t) - sin(5t); y(0) = 2 and y'=5

A: First find the commentary function then particular integral and then use the initial conditions as…

Q: 8 410x-32+x2 cos2x 4 Find *: (a) y =

A:

Q: Q(3) Solve (D3 + D²)y = 3x2 + 6 sin x – 2 cos x

A: As per our guideline,we are supposed to answer only one question.Kindly repost the other question.…

Q: a) Solve (6x²e* ,x0 ii. [3 cos 2xsin 7xdx 2x+1 1 10x +5 b) Show that (x² +1)(2–x) Hence, find | 2-x…

A:

Q: (a) /4 1+3 cos² 1 d.x; COST dx3B

A:

Q: Y"-2y'+2y=e^2x(cosx-3sin) by using variable coefficients

A:

Q: Evaluate the integrals

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: 4) y-3y'+2y =e"(1+ cos 2x).

A: First we find out C.F. and then we find out P.I. and then the complete solution is y=C.F.+P.I.

Q: 8) y" - 2y'+ 2y = 2e" cos(x)

A:

Q: (a) [- 9x2 +x° cos x dx = 3

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: V3 11. cos(3x) = %3D

A: cosθ   is negative in 2nd and 3rd quadrant

Q: y= - 2 cos 4x +3

A:

Q: Cos X -1 dx = ? 22n (a) -)". (b) (-1)". 22n+2 (2n).(2n)! n=1 (2n +2).(2n + 2)! n=1 22n+1 22n-1…

A: ∫02cosx-1xdx

Q: 6x2 y = 2y + cos y

A: We need to find the derivative of the given function

Q: find δƒ/δx and δƒ/δy. ƒ(x, y) = cos2 (3x - y2)

A: Consider the provided provided function, fx,y=cos23x-y2 Find the partial derivatives of the function…

Q: y = (cos(3x))*

A:

Q: 7- y" + ²y = cos 2t, ²4; y(0) = 1, y'(0) = 0

A:

Q: +2 y = 3e" cos 2x -2

A: Solution

Q: Solve (D² - 2D + 5) y = sin (2x) + 17x cos (2x) — 15x -

A:

Q: and y = 3 cos 2x for 0s

A:

Q: 8. y"+y = 3 cos 2.xr,

A:

Q: 2. y = ₁³x cos x + c₂e³ 3x Ge 3x sinx

A: Find out the differential equation by elimination of arbitrary constants.

Q: cos x - 1 dx = ? %3D 22n (a) (-1)". 22n+2 (2n).(2n)! (b) (-1)". n=1 (2n +2).(2n +2)! n=1 (c) (-)".…

A:

Q: Find the solution of the equation a²z a²z + Әх? ' дуг which tends to zero as x→∞ and has the value…

A: Given: The equation is ∂2z∂x2+∂2z∂y2=e-xcosy. Also, the given equation tends to 0 as x→0 and its…

Q: x5-3 14. S4 cos (-3x + 2) dx

A:

Q: ) y =-3 cos(3x) y 3+ X -2t -3+

A:

Q: Use Method of Undetermined Coefficients: y" - 2y' + 5y = 4e*cos2x +x?

A:

Q: d. cos 3x = 0 e. tan 4x - 1 = 0

A: Given:- d.  cos(3x) =0  e. tan(4x) -1=0 To find:- Solution of given equations

Q: cos(x) 2x+3

A:

Q: (cos(3x)(/1 – c os(5æ))dæ -

A: Use the formula 2cosA sinB = sin(A+B)-sin(A-B)

Q: a. y= 3(x³+4) b. y= cos-1(-3x)

A: we have to find dy/dx for given y

Q: 3x*y+2x +y² +5 = cos(2x)+5x

A:

Q: (b) [2 marks] y = 8x3 cos x - 13

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

Q: 6) y = cos-1 (9x2 – 4) V1 + (9x2 – 4)2 -18x C) V1 - (9x2 – 4)2

A: Given function, y=cos-19x2-4

Q: Solve : = - 3 y t16y =0 fus uwer. = 3 cos 4x- Sin

A:

Q: (D3- D2)y = cos2t a. y, = -cos2t +sin2t 10 20 b. y, = - cos2t -sin2t 10 20 c. p =cos2t- sin2t 10 20…

A: