d x – 2x d -{2x° + x=°] dx 5. dx 6. 7. d 5x-1 dx

Q: 3. (x + y − 1)dx + (y-x-5)dy=0igant bas ins

A:

Q: 2 x b) sec dx 2

A: Evaluate the integral ∫π3π2sec2x2dx.

Q: x*cos(y/x)*dy/dx = y*cos(y/x)-x   find solution of that differantial equation.

A: Let us consider the differential equation of the form dydx=fyx  then to solve the differential…

Q: (3y? + 2)2 = 1 and y(-1) = 1 What is x when y = 2? %3D dx

A: solve the differential equation by separating the variable and integrate it.

Q: dx y². dy dx dy = + 2xy = sin y,x(n) = 1 -2xcsc 2y - 2x³ cos 2y sec 2y h. i. sin 4y + (4y + C)2y π[²…

A:

Q: (2ху + у)dx + (x? — х)dy %3D 0 -

A:

Q: (y^3 - x^3) dy = (3y•(x^2) +1) dx Solve exact diff eq

A:

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

A:

Q: ГЕ 29. /x +4y dx dy

A:

Q: y(2x? - xy + 1) dx + (x - y) dy = 0, ANS. y(2x – y) = c exp (-x?).

A: Given differential equation is y(2x2-xy+1)dx+(x-y)dy=0

Q: 6. f(x, y) dx dy

A: Double integration and area of integration

Q: dy 1 1. Solve x-+y%3D ,2 dx

A: We have xdydx+y=1y2 This can be written as: xdydx=1y2-y⇒xdydx=1-y3y2⇒y21-y3dy=dxx

Q: 1 1 d y dy 2 3 X - х —- %D dx dx

A: Topic = Differential equation

Q: solve the DE b

A: The DE is (x-y+2)dx-dy=0or, (x-y+2)dx=dyor,dydx=x-y+2

Q: Evaluate each definite integral

A:

Q: dy - Solve + 3y + 2. y dx = x, given y (0) = 1. %3D dx

A:

Q: (v² +3 yx)dx +(3x² +cos y-e' )dy = 0.

A: It is problem of exact differential

Q: Bessel equation d²y dy +2x- + (x² – 4)y = 0. dx? dx

A:

Q: dy Find dx 3 (a) y = (3x² – 4x + 5)° (b) y = Vsin x + cos x (c) y = 2e¤²+5 cos (e2")

A: (a) To find: The derivative of y=3x2-4x+53. Concept used: Chain rule of derivative: fgx'=f'gx·g'x…

Q: y=2 x=1+y e) | (2y +5x) dx dy answer: 31 y=0 X=0 1 2x (2ху - 1) dy dx answer: -1 x2 23

A: e) ∫y=0y=2∫x=0x=1+y2y+5x dx dyf) ∫-11∫x22x2xy-1 dy dx

Q: (2 + tan ²x)(1+ e¬y)dx – e-y tan x dy = 0

A:

Q: Q-2) Solve: d²y + 2- 8y = 0 dy dx2 dx Where y (0) =1; 2 dy (0) =8 dx

A:

Q: dx 3) y²(e* – 1) =1 sec?(-x + y) | dy dy dx

A:

Q: »4-x² 1-y- xe?y dy dx 4 - y (b) Ln(a² + y? + 1) d dy (a) 0, /1-y²

A:

Q: solution of xe+y) dx-xdy = 0 (xe: +y) dx-dy =D0 enco

A:

Q: y=2 x=1+y e) (2y+5x) dx dy answer: 31 y=0 X=0 2x (2xy - 1)dy dx answer: 3 -1 y2

A:

Q: 3. (x - 1)dy - x?ydu = 0 4. (x2 - y2)dx + xydy = 0 5. (x2 - y)dx - (xdy – ydy) = 0

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: degree dy 6. dx = cos X d²y' dx2 2 (dx + 2b + y = 0 7. y" + (2y')2-y = 4x 8. 9. yy" + 2x3 = 0 10. y'…

A:

Q: 2. (2-x) dx + 2r y dy = 0 Ans.

A: As per our guidelines, we are supposed to solve only one question.Please repost the remainning…

Q: 36 dy dx dy 0 y 6

A: see 2nd step

Q: 3. (y -2 ) dx – ( x - y – 1 ) dy = 0

A: Given (y-2)dx-(x-y-1)dy=0

Q: dy = 2y-2 find the solution of dx

A: dydx=2y-22-ydy=dx4 Integrating w.r.t. both sides- ∫2-ydy=∫dx4∫2-ydy=x4

Q: d’y_2dy 3 y=2sin°(x) dx Determine the general solution of 2 dx

A: We have to determine the general solution of the differential equation…

Q: 2. (6x + y?)dx + y(2x – 3y)dy = 0 (exact equations)

A:

Q: 30. Find the solution of exe dx-e-2Y dy = 0 %3D

A:

Q: cos x dy dx - 0 0 а. 1 b. 0 С. 2 d. -1

A: First integrate w.r.t. y and then x

Q: dy Find the complete solution of 2 + 4y = 1 dx

A:

Q: 12) dy dx - = x cos (6x²), y(0) = 7 A) y == sin (u) B) y = sin(6x2) + 12 C) y = sin (6x²) + D) y -…

A: In the question we have to solve the differential equation. Bartleby's guidelines: Please post…

Q: 1. y(4x+ y)dx- 2(x² – y kdy = 0 | 2. 2xydx + (y -x² kdy = 0; when x = 2 and y = 1

A:

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

A:

Q: 3. (х+1)dy %3D (2хe* - ху- 2у)dx

A:

Q: 8. Find cyldx of the given equation: x²y- y'x 4 a. dy -2xy-y x+2xy dy dx x+y 1. dx dy dx x2 +2xy +y?…

A: To find dydx of the equation x2y-y2x=-4. Solution: Power rule of differentiation states that:…

Q: 2. (бх * у) ӑх *у (2х- Зу) dy - 0 3. (2xy– 3x²) dx + (x² + y) dy = 0

A:

Q: 1 -dy dx = 0 dy 2.xy- + y? – 2x = 0 | d.x

A:

Q: Solve the Euler equation 2r dy 2.x dx? -3r given that y(1) =1 and y'(1) = 2. +3y 0 dx jntaios

A: To solve given differential equation first we write the auxiliary equation and find the roots and…

Q: d’y dx? Find the general solution for +10 -+25y = 0. dx

A: For the second order homogeneous differential equations of the form ad2ydx2+bdydx+cy=0 , the general…

Q: Obtain a solution to this linear equation. dx − (1 + 2x tan y) dy = 0

A: Given that: dx − (1 + 2x tan y) dy = 0

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: 5x Find dy for y = -5 sec 8 dy =dx %3D

A:

Q: x =rcos(0( , y ناتج السؤال الأول: جد باستخدام التحويل )0)rsin= التكامل e-(6x+5y) dxdy

A: