The gloom inside the house enveloped me as I stepped through the door. All around I could hear stealthy footsteps and ominous cr
2 answers:
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Substitute , so that
, and
which is separable as
Integrate both sides with respect to . For the integral on the left, first split into partial fractions:
Solve for :
Replace and solve for
:
Now use the given initial condition to solve for :
so that the particular solution is
Answer:
r = 1/2
c1 = 3/4
c2 = 27/64
c3 = 405/1408
Step-by-step explanation:
Find the solution of 4x2y′′−4x2y′+y=0,x>04x2y″−4x2y′+y=0,x>0 of the form y1=xr(1+c1x+c2x2+c3x3+⋯)
r = 1/2
c1 = 3/4
c2 = 27/64
c3 = 405/1408
The solution is attached.
