Question

solve this question.

2. Show that the Euler-Cauchy Equation
Iy" + axy + by = 0, 1+0
can be transformed into the constant coefficient equation
y" + (a – 1)y + by = 0
by making the substitution r = e'(t
equation
In r). Use this method to evaluate the
%3D
%3D
ry" + 7ry + 5y = r
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Transcribed Image Text

2. Show that the Euler-Cauchy Equation Iy" + axy + by = 0, 1+0 can be transformed into the constant coefficient equation y" + (a – 1)y + by = 0 by making the substitution r = e'(t equation In r). Use this method to evaluate the %3D %3D ry" + 7ry + 5y = r

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