I 3xy cosx? - 2 yy t1] dx + [ Sin x2 - x2] dy =

Q: d²y Find С. dx? 1. y= sin 2x +cos² x sin x 2. у- - y= 1-cosx

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Q: i. j. [x²e Se-2x x² e 4x dx -2x 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 Find the General and Particular solution of = 8 sin 4x ; y = 6 when x = 0 dx

A: Given that : The differentiable equation dydx = 8 sin 4x . y = 6 when x = 0.

Q: d²y Find 2 dx? y = sin 2x+cos² x

A: Using derivatives.

Q: J cos 2x sin 3x dx

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

Q: Q1) Solve 1 + cos y – 2xy) dx – (xsin y + x²)dy = 0 +1

A: Given differential equation is  1x2+1+cosy-2xydx-xsiny+x2dy=0 This equation can be written as…

Q: S V3x – I dx а. - b. f cos 7x dx J 2+sin x COS x dx с.

A: As per our guidelines we are supposed to answer only three subparts of a question. Kindly repost…

Q: x sin wx dx x2 + 6x + 10 Show that (2 sin 3w – 3 cos 3w) w > 0 %3D - 2e2w

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Q: +3x2 B) Find dy/dx if : (****")) (v)² = sin (cos³

A: Differentiation chain rule

Q: Find Y'and y" Y = sin (x²) Y = 2x² cos (x²) 2 y" = ? 2

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Q: Q3) Solve (ysin x + y²) dx – („ - 2xy) dy = 0 + cosx %3D |

A: A differential equation of the form Mdx+Ndy=0 is said t be an exact differential equation if it…

Q: D- y" + 2y' + 5y = 6e2* + x sin? x + e*cos 2x %3D

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Q: x2-y2 dy 8. dx du Y: Formula: J Ta?-u² = sin-1 u V a

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Q: Number 23

A: we have to find definite intregral of given question

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: y = cos(2x), y = sin x, 0<x< 2

A: Solution is given below:

Q: COSX sin x dx 4. S 1-ఆశి అరికి న

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Q: y³x2 + yx³ - 20y² – 10y = 0 sin(x?) = cos(y³)

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Q: (4e²+7x°+5 cos z + 2)dx

A: Solve integration

Q: x²y(cos(Tz) +2) dæ dy dz

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Q: d²y 9. +y= sin 3x cos 2x 2

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Q: d 1. sinx dx = - cos x + C because (- cos x+C) = _ dx

A: The first question is ∫sin(x)dx=-cos(x)+C

Q: 2 S² T ㅠ 1-cos x dx 2

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Q: 6) F Sin12y Cos’ y dy

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Q: dy y sin x - Solve : +-= cos x+ dx +

A: Solution is given below:

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

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

Q: dy Solve:+x sin 2y = x°cos*y. dx

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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: 13. (D² -1)y = x³ sin 3x

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Q: b. sin 2xdy – 2(y – cosx)dx = 0; when x = n/4, y= 0

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Q: Solve the ODE: (7e sin y – - 49y sin(7x))dx + (e“ cos y + 14y cos(7x))dy = 0

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

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Q: Solve by finding an I.F 1. xdy – ydx = (x² + y² }£x y - sin x 2. dy + -dx = 0 ......

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: - Ixy cosx? - 2yy t|] dx + [ Sin x? - x2] dy= O

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Q: The solution of Sinx dx - x sinx+ y cosx= 0 is (y– 1) sinx =? A C-x sinx B C+ x cosx с-х cosx D C+ x…

A: sinxdydx-xsinx+ycosx=0sinxdydx+ycosx=xsinxddx(ysinx)=xsinx

Q: Find d2y/dx2 implicitly in terms of x and y 7xy + sin x = 2

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Q: 6. sin v- -2 cos Va + C %3D 4x2 1. Ja-8 dx = 18 (1-8x)4 (1-8x3)4 8. Se*dx =+ %3D In e

A: As per the instruction, we will be answering only the first three subparts. For (6),    ∫sinxxdxLet…

Q: S2(cosx)(sin2x)dx %3D 3.

A: .................(1) take  put all values in equation 1

Q: 24. x² sin y dx dy

A: Given :   ∫-11∫0πx2 sin y dx dy=?…

Q: dy (2xy – sinx) = (cos y – x²) dx

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Q: Q3) (cos y – 2xy + dx – (x² + xsin y)dy = 0 x²+

A: Simplify the equations by grouping like terms and using the product rule of differentiation. Look…

Q: Obtain the solution (3tan x-2cos y) sec^2x dx + tan x sin y dy = 0

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Q: 1 S (4x4 – e3* + cos(2x) – + 5* ) dx - x-1

A: First you need to go through the formula of calculus. Specially go through the details of the…

Q: (c) So cos(-x)(x²)dx (d) S(3x² – 2x + 1)sin dx

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Q: (2xsinx +3 cos y)dx-3x sin ydy 03 ....

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Q: Find d2y/dx2 implicitly in terms of x and y 3xy − 4 cos x = −6

A: Find d2y/dx2 implicitly in terms of x and y 3xy − 4 cos x = −6

Q: dy Solve cos x(e2y - y) - dx = e' sin 2x,

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Q: (2x²³x+ sin(x2-x) + y ) dx + (x²y-x) dy = 0

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