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Engineering Maths · Q62

Differential Equations

Engineering and GATE · Engineering Maths · question 62

Q62

General solution of the Cauchy-Euler equation x^2 d^2 y d x^2 - 7 x dy dx + 16 y = 0 is

General solution of the Cauchy-Euler equation     is
A.
y = c1x2 + c2x4
B.
y = c1x2 + c2x-4
C.
y = (c1 + c2ln x) x4
Answer
D.
y = c1x4 + c2x-4ln x

Answer: Option C

Solution

Answer: Option C
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