y"+16y = sec (4r) on the interval -7/8

Q: Solve the differential equation f -e = 2ey by separation of variables.

A: In this question, concept of separation of variables is used. Seperation of Variables The approach…

Q: Solve y" - 5y" +19y' + 25y = 0

A:

Q: у' — (cotx)у %3D- (2сosx)у-2

A:

Q: 3x2y +y2 2x3+ 3ху dy

A:

Q: Solve the differential equation by variation of parameteres:   y'' + y = sin2 (x)

A:

Q: Please help me with this differential equation and identify P(x), Q(x) and v(x).

A: The general form of first order  linear differential equation is shown on board

Q: 1.0 1.0 0.8 0.8 0.6 0.6 0.4 0.4 0.2 0.2 0.0 0.0 0.0 0.2 0.4 0.6 0.8 1.0 0.0 0.2 0.4 0.6 0.8 1.0 0.0…

A: i) the plot for the vector field will be,

Q: 3-Erpressthe given qunntity in torme of Sinn-and cosx cos (T+A) O cos(+x) O Sin (277-x) sin (-x)

A: To express the given quantity in terms of sinx and cos(x) (a) cos (π+x)   (b) sin (2π-x) (c)…

Q: (x²+y)dx + dy 0

A: This linear differential equation

Q: Solve the differential equation by variation of parameteres: y'' + y = csc(x)

A:

Q: . Verfy y = x* is a solution to the differential equation "Y = xyz. хуг

A:

Q: 3xy''+y'-y=0 solve the equation

A:

Q: Solve differential equation by variation of parameters y"+9y = sin?(3x)

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.