1. Solve (cosxcos y+2x)dx-(sinxsin y+2y)dy=0

Q: b) y" + 2y' =4e' (sin x + cosx)

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Q: 2. 2x?cos y dy + sin y ( x+ siny)dx

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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: 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: 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: [y²e + √elnx dy-(xy) sin² ( * O) + (---) (-) sin² tan² ,dx ey+Inx dy y(In2x-lny) -ex. dx = 0

A: We can solve this using substitution method of ordinary differential equation

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

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Q: -. Solve for dy/dx a. y = *+ sinx cos x † Sin X

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Q: cos²x sinx dy + (y cos³x - 1)dx = 0

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Q: b. sin 2xdy – 2(y - cosx)dx = 0; when x = 1/4, y = 0

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Q: Find the General and Particular solution of = 8 sin 4x ; y = 6 when x = 0 %3D dx

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: x fare cos = dx 2

A: Indefinite Integration

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: whenever possible. dz = 2x³e4y; y = cos (6x); z = dx

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

Q: Solve x3sec2y dy/dx+3x2tan y=cos x

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Q: (4e²+7x°+5 cos z + 2)dx

A: Solve integration

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: 7. 2r tan y dx + sec² y dy = 0

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Q: 4. Find a general solution to the equation y' – 3y = e" sin(2x). -

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Q: 2:Solve: cos (x+ y) dy = dx %3D

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Q: dz Find x? sin(2y – 5z) =1+y cos(6zx) -

A: This is partial derivative so differentiate it as normal differentiation of z with respect to y…

Q: d²y 9. +y= sin 3x cos 2x 2

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Q: dy Solve:+x sin 2y = x°cos*y. dx

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Q: If y3 + y = 2 cos x, find the value of d2y/dx2 at the point (0, 1).

A: given, y3+y=2cos xwe have to findd2ydx2 at point (0,1)

Q: 1. If y = sin x² x =²), ex find dy dx

A: Given y=sinx2-xex To find dydx

Q: cos 2y dy sin y

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Q: 13. (D² -1)y = x³ sin 3x

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Q: dx/dy + sin'3 y/ cos'2 2x = 0

A: We are given : dxdy+sin3ycos22x=0⇒dxdy=-sin3ycos22x⇒cos22x dx=-sin3y dy Integrating both sides, we…

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

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

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Q: B) Find dx dzy and if x = sin 3z and y = tan23z dx2

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Q: (c) Solve the IVP x(1- siny)dy = (cosx – cosy – y)dx.

A: Given,          x(1-siny)dy=(cosx-cosy-y)dxand            yπ2=0

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

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

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Q: 2- Calculate y": y = 5x2 Sin (3z) - 2x Cos (5x)

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Q: x7+3x2. Find dy/dx if: (y)² = sin (cos³(* +3: *)) %3D 2

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Q: Find the solution of d2y/dx2 +4y=sin3xx+cos2x

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Q: 1- Sinx + Cos2y=0 dy dx

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

Q: -3π/2 2. S TL √sinx + 1 cos x dx

A: We solve the given definite integral by using substitution method .

Q: 7. y" + y = 3 sin(2r) +t cos(2t)

A: The general solution of an ordinary differential equation of the form;…

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

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Q: 3. Find dy dx y= 3 Sin.

A: Find derivative

Q: @2) find to dx 2. y=CoS 2' Sin e

A: To find the dy/dx of the given function

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

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Q: сл/4 сл/2 30. cos(2x + y)dy dx )л/4

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Q: 1.[* sin'x cos xdx parctan3/2 3secr 2. [ y dy dx J.

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Q: Find the solution of d2y/dx2+4y=sin3x+cos2x

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Q: O Solve the DE: - sin dy y + dx

A: We have to solve the given D. E.

Q: 6y' = y*sinx У (0) — 1

A:

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.