What is the most appropriate substitution equation in order to solve the equation (x+2y-1)dx+3(x+2y)dy=0?   u=1+2dy   u=vx   u=x+2y-1   u=x+2y

Q: Differentiate d dx y = 11x4 + 3 - (1₁x² + 3) =

A: As we know that

Q: х2 — бх + 9 dx Убх — х2

A:

Q: 1. (D2 + 2D + 4)y = 8x? + 12e-*

A:

Q: 2х-1 dx х* - 6х + 13

A: Here I am attaching image so that you understand each and every step.

Q: dx xVxt-8

A:

Q: S4x 6 1 3 1 2x³ + 7x - 4dx

A:

Q: Зx2-7 dy 2х3+5 dx

A:

Q: (a1x + bịy + c1)dx + (a2x + b2y + c2)dy = 0

A: We will find out the required general solution.

Q: Solve the equation (2x + 6) (2y² + 3) dx + 4y(x² + 3x + 2) dy = 0

A:

Q: $x+ 2 4x -1

A: Given that                                                           I=∫8x+24x-1dx

Q: dx J x* – 1

A:

Q: -2 Evaluate (5х — 2) dx -6

A:

Q: (a) Form the difference equation whose solution is yk = c1 + (c2+ csk)(-1)*, where c1, cz and cs are…

A: Given that the solution is yk=c1+c2+c3k-1k. To find the difference equation of this solution: For,…

Q: (4x-3) find dy/dх y = (2х-7)6

A:

Q: dx V4 - x - dx 2 8)

A:

Q: 3—4х dx =? Vx2+6x+1

A:

Q: (x + 4) dx (x + 2) Vx +. 5

A: To evaluate the integral: ∫x+4(x+2)x+5dx Direct integration is not possible, so we will use the…

Q: dx 4+x*

A: Proceed as shown below...

Q: X 3- Ssin ² x dx ។

A:

Q: dy dx 2xy + 6x + (x²-4)-

A: Solution of given question is written in below steps.

Q: Solve the following first order equations: (a) (x²y² + 1)dr + 2r²dy = 0, use the substitution ry =…

A: We have to solve 1st order differential equation using substitution xy = u.

Q: sec(-3x + 5) dx

A: Solve the integral

Q: Suppose y dy dx -18 x 3x³-4. Then 6x +1 + (6x + 1) +

A:

Q: Differentiate y = 11x4 +3

A: given to find

Q: (D²-2D-3)y=64xe³x

A: We have to solve the given differential equation.

Q: 5. x3 + 2x – 6 dx x4 + 2x2

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Solve ÿ + 6ỷ + 9y = 0 dy + 2y = e-4 dx d²y + y = 0 dx2 dx²

A: Note : There are multiple questions. Here is the solution of first question. Given differential…

Q: elimination of first degree variable: 2x/3 - y/2 = 1

A: The given equation is: 2x3-y2=1

Q: +9 J4 (12x² - 8x+10) dx

A:

Q: 9) (4y? + 10xy – 4y + 8)dx + (2x² + 2xy – x)dy = 0 ; when y(0) = 1 %3D

A:

Q: 7.xy + 3r + (x + 12),² ; dy (² + 1³); = 0 dx

A: see 2nd step.

Q: T. (3x² - 4x¹ + 2)dx -1 -3

A:

Q: 2х — 3 /3x2 — 9х + 27

A: Consider an integral of the form, The integral of this form can be solved using the substitution…

Q: 3 = 4- 2y + - dx

A: The differential equation is,   The figure below represents the vector field of the differential…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.