Stuck on differential equation question, part a) and part b)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Stuck on differential equation question, part a) and part b). Any help appreciated.

(a) Find the general solution of the Euler-type ODE
x²y" + 4xy' + 2y = 0.
(b) Determine whether the differential equation
1
(2y = - coch²₁) ₁² = 0
5)
2 y
is exact. If it is exact, find its general solution in explicit form.
y²e - sinx + 2ye
Transcribed Image Text:(a) Find the general solution of the Euler-type ODE x²y" + 4xy' + 2y = 0. (b) Determine whether the differential equation 1 (2y = - coch²₁) ₁² = 0 5) 2 y is exact. If it is exact, find its general solution in explicit form. y²e - sinx + 2ye
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