Consider the differential equation 4y' = 3y+ 2x/y Which of the following is the linear form of this differential equation after applying appropri ate change of vari ables? a) z' – z = x b) z' – z = 4x c) z' -z =x 3 d) z' +z =x e) z' -z = x 3

Q: How do you test for the exactness of differential form?

A: given,      to test for the exactness of differential form

Q: find the differentials of the first and second orders u=xyz

A:

Q: Obtain the differential equation associated with the family of curves below: y = A + Bx + Ce2x y" -…

A:

Q: dy The solution of the differential equation =0is

A:

Q: x^5+3y=xy' find the linead differential equation

A:

Q: Consider the differential equation (1– v2)y' – ytanx = yv²tanx Which of the following is the linear…

A: Given(1-2) y1 - y tan x = y2 tan x —(I)(1-2) y2- y1 - y1-2 tan x = tan x —(II)Put       y1-2 = u…

Q: Obtain the differential equation of all circles with center on line y = -x and passing through the…

A: Answer

Q: (x^2-4x-4)(y^2+1)dx+2y(x^3-2x^2+4x-8)dy=0; when x=4,y=1

A:

Q: Determine whether the given relation is an implicit solution to the given differential equation.…

A: The given differential equation is: y''=20x3y'+4y'3siny-2y'25x4-y. We have to check whether…

Q: x+y-8 y' = 3x+3y-4

A: We have the equation y'=x+y-83x+3y-4 or dydx=x+y-83x+3y-4 We need to transform this differential…

Q: The differential equation 4y"- siny y' + 3y = O is a linear equation. :Select one True False

A:

Q: Obtain the Differential Equation of all circles passing through the origin and (0,8).

A:

Q: Transform into first order linear form the differential equation sin 0 dr 2rcos0 %3D OP

A: First order linear form of the differential equation is:  drdθ+P(θ)·r = Q(θ) hare P(θ), Q(θ) are…

Q: Find the differential equation of the family of curves y = mx + b where m = b.*

A: We have to solve given problem:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.