Find a particular solution to the nonhomogeneous differential equation y? ? +4y? +5y=? 10x+e^(? x).

yp=
find the most general solution to the associated homogeneous differential equation. use c1 and c2 in your answer to denote arbitrary constants, and enter them as c1 and c2.

yh=
find the most general solution to the original nonhomogeneous differential equation. use c1 and c2 in your answer to denote arbitrary constants.

y=

A) Particular solution:

B) Homogeneous solution:

C) The most general solution is

Step-by-step explanation:

Given non homogeneous ODE is

To find homogeneous solution:

To find particular solution:

Substituting in (1)

Equating the coefficients

The general solution is

from (2) ad (3)

step-by-step explanation:

we can use this expression to calculate the energy gain as a particle moves with a field or the energy loss as it moves against it. (note that it is also used to define the electron-volt, a unit of energy equal to that gained by an electron as it falls through a pd of 1 v, i.e. w = 1 ev = 1.6 10-19 c 1 v = 1.6 10-19j).in fact this expression is really nothing more than the statement that potential is the potential energy per unit charge. in this case, v= w/qis simply stating that the change in potential energy(or work done) per unit charge is equal to the change in potential (or potential difference), v.student questions: uniform electric fields2electron beamcathode+5 kvanode0 v

i'm sorry mate, but i am not seeing any figures. i am unable to solve this for you.