dzy dy +8 +2 y 2x²e* + 4 cos (x) dx2 dx

Q: (2x + 3y - 1) dx - 4 ( x + 1) dy = 0

A: Explained below

Q: 3- (2x+y)dx + (x-2y)dy=0

A: If the differential equation is of the form Mdx+Ndy=0 which is exact thenSolution of the…

Q: у+(2x-Зуе^у)dx/dy-0 x-3y

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

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Q: Solve dy 2 dx - dy + 2y = 7 cos x + 5et dx -3-

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Q: (x - 2y - 1) dy = (2x - 4y - 5) dx

A: Solution:x-2y-1dy=2x-4y-5dxdydx=2x-4y-5x-2y-1dydx=2x-2y-1-52+1x-2y-1dydx=2x-2y-1-32x-2y-1let,x-2y-1=…

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: 2. (3x-y-4)dy -(x+y-4)dx=o

A: Given :

Q: 2. - dy x³y*-2y dx

A: We have to solve given problem:

Q: 2. (2x +y -3) dy = (x + 2y -3) dx.

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Q: (cos xy +5 dx + (1+ cos xy ) dy = 0 ху

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Q: 3. (16x + 5y)dx + (3x + y)dy = 0 1 (Cos 2y - 3x²y²)dx + (cos 2y - 2x sin 2y - 2x'y)dy 0 the

A: In the given question we have to find the solution of the differential equation 1.…

Q: 5-(1+x')(dy-dx)= 2.xydx;

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Q: Solve dy/dx =( y+x-2) /(y-x-4) Equation s reducible to homogenous form

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Q: Evaluate the integrals

A: Given I=∫01∫03-3x∫03-3x-y1dzdydx

Q: 4. (x+ 2y-1)dx-(2x+y-5) dy =o

A: According to question,Given differential equation,x+2y-1dx-2x+y-5dy = 0

Q: dy 6y = 12x- 50 sin x dx² dx

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Q: у (буз — х — 1) dx + 2x dy — 0 || -

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Q: dy 4.x+ (4x² – 1)y = -3 sin(2x) dx dy dx²

A: In this question, we find the normal form of the differential equation and then solve it.

Q: 2.x 2- L* (6- 22 - 3y) de dy 6 — 2 — Зу) dx dy

A: The integral is ∫03∫02-2x36-2x-3ydx dy. To evaluate the integral, first evaluate the integral with…

Q: 1. (ex-y)(1-e²y)¹/² dx = dy

A:

Q: у (9х — 2у) dx - x (6x = y) dy = 0 -

A: Given:- y (9x - 2y) dx − x (6x — y) dy = 0 To find:- Solve given differential equation when x=1, y=1

Q: dy 1.3- |4 - х2 ys dx : у(1) %3D 1

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Q: ´dy" 1) x () - – 2y = x³ cos4x \dx.

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: 5-(x^2-y^4)dy/dx=xy

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Q: 3 7x + 6x - 5x dy find dx - Example 28. If y = 4

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Q: d²y dy - 6y + = 12x - 50 sin x %3D dx2 dx

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Q: -y cos xy - 4x) dx + (- x cos xy + 2y) dy o 1. = 0 2x+3y Zar+3y 2.

A: Proceed as shown below...

Q: dy dx = (1 + y²)ex dx

A: As per the instruction, we will be answering the first question. For (1),      y'…

Q: y2 - cos(x²) + + 3x³ = 4x-3 dy 8. x – %3D dx

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Q: d²y 10 9y = e3x + sin 3x dx2

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Q: 4) (у-сos' x) dx + cos xdy %3D0 5) 2y(y² - x)dy = dx

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Q: (3– 3cos5x)} (3x² +2x-7)² (e - sinx +3x) y= Find dy/dx if

A: That's computational, take a careful look.

Q: 3 sin(3x) 2cos (4y) dy dx (-)= 3 4

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Q: (x-3y+2) dx +(3x+ 9y-12) dy -o 3.

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Q: dx coSX dy= 3 Cosx dx ( 3x+2)

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

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Q: 3. (sın 2y - 2x cos 2y) dx +( 2x cos 2y + 2xsın 2y)dy=Dd X = 2, Y = TT when

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Q: 3 -V7 dz dy dx dy dz dx

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Q: Find dy/dx 1. y= cos ( -2x -10) 2. y= cos³ -5x

A: We have to find derivative dy/dx.

Q: 1. (x- 4y- 3)dx - (x – 6y - 5)dy = 0

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Q: 16 dx -5y -0 dy dy 3

A: We solve this by ordinary differential equation

Q: (2x+ 3y) dx + (3x-y+5) dy

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Q: (sın 2y - 2x cos 2y) dx +( 2x coS 2y + 2xsın 2y)dy=d when x= 2, Y = T 3. COS %3D

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Q: dy x- y = x.cos² ² 1- dx

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

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

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Q: dy dx 1. dy 2- dx=2xseey 3-(1-x) 2y

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Q: 3 - 2 (6x + y) dx dy 0 -5

A: To find : double integration

Q: 1. dx + 2y = e^* dx 2. dx dy + 4 + 4y = 5ex dx d'y 3. dx + 4 dx + 3y = cos 3x

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Q: 2) (3x²y – sin y)dx + x(x² – cos y)dy = 0 |

A: