tell whether if the equation is a solution or not a solution to the differential equation. 1. y = 4 cox 4x ; y'y'' = yy'' 2. 2y = ey^y/x ; x²y' = y(xy-y') 3. 2 sin 2x = 3 sin x cos y ; 4 sin x = 3y'siny' 4. 3y = ln2xy ; 2y=y'(3e^3y - 2x) 5. y = e^2x - 3 cos x ; 2y(sinx+2cosx) - 5ysin

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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tell whether if the equation is a solution or not a solution to the differential equation.

1. y = 4 cox 4x ; y'y'' = yy''

2. 2y = ey^y/x ; x²y' = y(xy-y')

3. 2 sin 2x = 3 sin x cos y ; 4 sin x = 3y'siny'

4. 3y = ln2xy ; 2y=y'(3e^3y - 2x)

5. y = e^2x - 3 cos x ; 2y(sinx+2cosx) - 5ysin

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