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About LinkBackshow to solve the second order differential equation in the form:
ay" + by' + cy = R(x)?
the example is this:
(d2i/dt2) + 6(di/dt) +25i = -292sin(4t)
First you find the general solution of the corresponding homogeneous equations ie.Originally Posted by sweetadam
.
Then you look for a particular solution, since in this casewe can guess that the particular solution will be of the form
. Now you solve for
and
obviously, by substituting in the appropriate terms ie.
and
and
into your original differential equation. Then you know the general form of the solution of nonhomogeneous equation is simply
, where
and
are solutions of the homogeneous equation and
is the particular solution we guessed and solved the constants
and
are arbitrary constants.
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