Integrating Factor by Inspection a)y(x² – y² + 1)dx – x(x² – y² – 1)dy = 0

Q: 4. y(8x – 9y)dx + 2x(x – 3y)dy = 0 а. 2x*у — Зху? — с b. 2x*y – 3x²y? = C c. 2x*y3 – 3xy? = C d.…

A: We assume that we have to first find integrating factor of given differential equation then we have…

Q: dz. 2ª + 9 tegrate

A: The integration of the integral x/√(x4+9).

Q: 7 I √49-x² 49-x²-z² Ľ -V 49-x² 1 √49−x²−z² (x² + y² + z²)¹/2 dy dz dx =

A:

Q: Homogenous (2x²y + y³)dx + (xy?. 2 – 2x³)dy = 0 -

A:

Q: Integrating Factor by Inspection: 1. (2y – 3x)dx + xdy = 0 2. (x – y²)dx + 2xydy = 0 %3D %3D

A:

Q: 18 dx Integrate using trig. Substitution: S- x² V9– x²

A:

Q: d/dx(arctanh(2x)) 2XIn2 A. 1-4X 2x B.- 1-4X 2 In2 C. 1+2x 2x D.- 1-2x

A:

Q: dx (2х — 5)10 Integrate -

A: We have to solve the given integral : ∫x(2x-5)10 dx = ?

Q: dx { ²) r(1+(ln x)

A: The definite integral of the function f(x)=11+x2 is given by:…

Q: (xcosec(y/x)-y)dx+xdy=0

A: To find : Solution of (xcosec(y/x)-y)dx+xdy=0

Q: y dx + x(Inx-Iny -1) dy z

A: Use substitution lnx=u:…

Q: factor

A:

Q: First order linear in (y-x+xycotx)dx+xdy=0

A: The given problem is to find the solution for the given first order linear differential equation.…

Q: Amour 1 y (2xy +1)dx +x (1+2xy –x'y)dy =0 It represents the integration factor of the equation

A: If the equation fx,yy dx + g(x,y)x dy =0 is not exact i.e,∂M∂y≠∂N∂x ,then the integrating factor of…

Q: JS xy dA R: rectangle with vertices (0, 0), (0, 3), (5, 3), (5,0) 166xx 16 xy dx dy = xy dy dx =

A: The solution is given as

Q: (2y + √y sin x) dx + xdy = 0

A:

Q: 1 dx Vx(1+ x)7

A: ∫1x1+x52dx

Q: Find the image of y = 1 under f(z) =1/z %3D %3D

A: Image of y=1 under f(z)=1/z

Q: rV1-y² (x² + y³) dy dx -1 J-V1-y

A:

Q: -2ex + 2e dx (ex + e-x)2 I e* + e¬x,

A:

Q: Classify and Solve dy + (1- 2x)y = 4x ,x >0 dx

A:

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.