Consider the expression
This expression contains two terms with group them:
Now simplify term
Now
This expression is defined for all x.
25x^2+1=5 quadratic
1 answer:
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The solution depends on the value of 
. To make things simple, assume 
. The homogeneous part of the equation is
and has characteristic equation
which admits the characteristic solution
.
For the solution to the nonhomogeneous equation, a reasonable guess for the particular solution might be
. Then
So you have
This means
and so the general solution would be
and has characteristic equation
which admits the characteristic solution
For the solution to the nonhomogeneous equation, a reasonable guess for the particular solution might be
So you have
This means
and so the general solution would be
