Solve the difference equation A?yn + 3Ayn – 4y, = n² with the initial conditions yo = 0, yn = 2. %3D

Q: Solve (x – y)dx + xdy = 0.

A:

Q: (е2х-1)2 dx е 2х

A: topic - indefinite integral

Q: Find a particular solution to y' – 2y + y = -13.5e". Yp

A:

Q: 5. Solve: 4xy2(3x³y – 5xy) = 0, Let y = 2 %3D

A: A detailed solution is given below

Q: Solve by using Q RULE

A:

Q: Solve for y. x= (3y+5)/(7y-1)

A: To solve for .

Q: 2. Show that (2x + i)(2x– i) = 4x +1 %3D |

A: Prove the equation

Q: Find oy for dx2

A:

Q: X-3x y+6xý -6y = 30 x 2 4 -2 XY-3X y +6xy-6y%330X

A:

Q: Solve xdy + (3x - 2y)dx =0 in two ways. Write your solution on the space provided

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.