+xy 6. х- dx dy sin x + 2y = y(2) = 1 %3D 8. х- %3| dx 10. (3y + 2xy) dx – (2xy +x²) dy = C - dy 1 12. +y= dx 1+ ex 14

Q: Find the general solution for (y + 1) dx + (4x - y)dy = 0

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Q: 4. (y? cos x - 3x²y - 2x) dx + (2y sin x - x³ + Iny) dy = 0, when x = 0, y = e %3D 5. (x2 - 1) dy =…

A:

Q: 1-² dx dy dz se ³ 1 xyz 2-fff(x+y+z)dy dx dz TL 3-fff₂y sinz dx dy dz 6 -2

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Obtain the particular solution of the DE: 4(3x + y – 2) dx – (3x + y) dy = 0; when x = 1, y = 0…

A: Gg

Q: 15. Solve d²y +3 y + 2y = 3 sin x, given that when x 0, y =-0-9 Wor, OFer dx? dx dy =-0-7. dx and…

A:

Q: [(5e* +4e 2* – 3e )dx 6. [(e* +e*)°e**dx 5. 4 sin 3y – 6 dy ços 3 y 7.

A:

Q: 1) (x-2y)dx+(2x+ y)dy = 0 2) x'y'= 4x² +7xy +2y² 3) (x² + y² )dx + xy dy = 0

A:

Q: 6x – 2x +1 dy cos y + e4y 2. (3xy² – 9xy – 30x) dx + (x² +9) dy = 0 1. dx

A:

Q: Find the general solution of dy/dx= xy-y/x^2-5x+

A: To find the general solution of the below differential equation. dydx=xy−yx2−5x+6

Q: 4. (ye"-2y)dx + (xe-6 xy- 2y)dy = 0; x = 0 when y = 2. 5. (x+3) cos y dx - (sin y In(5x + 15)-y} dy…

A: The exact differential equation for the equation, F(x,y)=C, is written as Fxdx+Fydy=0, where, Fx ,…

Q: Find the general solution for (3/y-6/x)dx - (3x/y^2 - 7/y)dy

A:

Q: ) Obtain the particular solution of (2x-3y+4)dx+3(x–1)dy =0; when x =-1, y = 2 O Find the general…

A:

Q: 6. (5x*y+ 4x³y³) dx + (3x³ + 5x*y²) dy = 0 7. 3y4 dx + (4xy³ + 5x¯2y+) dy = 0 8. (2xy? + y + 2xy cos…

A:

Q: [4] S (x + )´ dx [5] S cos²(2x)dx X. V1+x3 [6] S- dx r-2

A: To evaluate the integration of the following.

Q: Find dy/dx by implic differatiation. a) x^3-xy^2+y^3=1

A: Since there are multiple questions present, according to company policy we will be answering only…

Q: 2x+2 dx. 5. x2-2x+1 dy 6. 5. if y = (1+ x²)etan-1x

A:

Q: 4. (y? cos x - 3x²y - 2x) dx + (2y sin x - x3 + Iny) dy = 0, when x = 0, y = e

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

Q: 22. If y = x+4 then what is 4Y? dx dy a. 4x(x + 4) dy С. dx -4Vx + 8 dx dy b. dx =-4(x + 4)= d. dx…

A:

Q: 3e"dx 3x 1. 3x – 16 2. x 10 – 3x°dx 3. / In (cos®) an@ de 3.

A:

Q: 2xy dx + (x2 + 1) dy = 0 U (2xy? + 2xy e2x + e2x y) dx + (2x²y + x e2x) dy= 0 2xy dy + (3x + 2y²) dx…

A:

Q: 2x2+2x+1 dy Q 3. Examine dx for y(0.6) by RK-4 method if y(0) = 1, h = 0.2. x2+5x [CLO-2: LOL: C-4,…

A:

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: 10. Find the derivative of y = ln 4**+1) In 4 dy A) dx 2x dy 2x In 4 B) dx dy 2xIn 4 C) dx 4(*+1) dy…

A:

Q: 5. Find the particular solution (IVP) for the DE below: a) dx +2 =8x when x = 2, y = 6 b) 3y2 = 2x +…

A: Use variable separable method

Q: 4. (y² cos x - 3x²y - 2x) dx + (2y sin x – x³ + Iny) dy = 0, when x = 0, y = e %3D

A: Note: According to our expert guidelines only one individual question is to be answered, kindly…

Q: 1. = 2 + 3y dx %3D dy 2. dx = 2cos?y dy 3. (y2 + 2) = 5y, given y=1 when x=3 dx dy 4. = xV2x + 1 dx…

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

Q: [2x*yžcosx² – 2x*yå + x/5]dx + [x/5stnx² - x° /9]dy = 0 3 2x²yz + x [x/ysinx? – x³ /y]dy = 0 -

A:

Q: Solve this DE:  1. dy/dx= (x+3y-2)2

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

Q: 4. (y² cos x - 3x²y - 2x) dx + (2y sin x - x³ + Iny) dy = 0, when x = 0, y = e

A: exact differential equation

Q: 2. 3. (32²+7)dx=(2,₁¹²₁ )dy = 0 4) 1 xe²x dx + (5-1)dy = 0, y(0) = 0 1

A:

Q: 9. (x²-x+y) dx - x dy = 0 10. (2y² + 2y + 4x²) dx + (2xy + x) dy = 0

A:

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: (5x* +-) dx +2 (* +In x - e") dy = 0; y (1) = 0 e* ) dx +2 (x + In x - e*) dy = 0; y (1) = 0 8.

A:

Q: Q2. Solve y [xcos (e)- + ysin (:)] dx – x [ysin 2) – xcos (2)] dy =

A:

Q: Solve for the DE: (3x²y - y)dx + (x³-x+2y) dy =0 ; y(0)=2

A:

Q: 4- Find dy/dx for y = 3l(sin-(e-3x')1² dy 1(-6x) = 3(sin-(e-3*" )I* In3 2(sin¬1(e¬3x²) dx In3…

A: Given y=3sin-1e-3x22

Q: y² cos x - 3x3y - 2x) dx + (2y sin x - x³ + Iny) dy = 0, when x = 0, y = e x² - 1) dy = ((1 + x)2 -…

A:

Q: 1. y = 3x2 - 5x when x = 3 dx when x= 2 b. dt a. 32 dt dy dt

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 5 2 S- 10 Vx+y dy dx 5 2 y dy dx = (28 - 10/3) 10 VX+y 3.

A: given itegralI=∫15∫02yx+y2dydx

Q: 1- [(2x – 5)/3x – 1) dx | 2- S S(x3 – 10 + 3y² dy dx

A:

Q: d²y 10. dx2 -- 3y = 2e2* +10 sin 3x given that y (0) = 2 and y'(0) 4 dx %3D 29 Ans. 12 e2x +[cos…

A:

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

A:

Q: 2 Z - 6 A xy dy dx dz 3.

A: ∫03∫09-z2∫0xxydydxdz

Q: 3x 6 1 -In xy dx e-In √x dx +dy +=dx = e-mxx y X

A:

Q: 4- Find dy/dx for y = 3[(sin-(e-3x*)1² dy 3(sin-(e-3*)1* In3 2(sin-'(e-3**) 1(-6x) %3D dx V1- e-6x2

A:

Q: [2x.ex dx=2x.e-fe.2dx =2x.e- er.2 =2e* (x-1) H.W. 2-1x3.ex de 3- f x2. cosx dx 들 27

A:

Q: 4- Find dy/dx for y = 3(sin-(e-3x*)2 dy 31(sin-(e-3*")r* In3 2(sin-'(e-3x")- dx 1(-6х) е 1 - e-6x2

A:

Q: Let y=(x2+4)to the 4th power. Find the differential dy when x=3 and dx=0.3.... Find the…

A:

Q: 1. (2xy + x²) dy + (2xy + y²) dx = 0 A2 (3x² + 2xy) dx + (x²) dy = 0 *AA 3. (3x²y³ + 3 sin x + 4y)…

A: Disclaimer: SInce you have asked to solve only question 3, this question has been solved only.…

Q: 4. (6xy³ + 2y*)dx + (9x?y² + 8xy³)dy = 0 5. (у2 — 2ху + 6х) dх — (x? — 2ху + 2) dy — 0 When: x =…

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.