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In: Advanced Math

Use ‘Reduction of Order’ to find a second solution y2 to the given ODEs: (a) y′′+2y′+y=0,...

Use ‘Reduction of Order’ to find a second solution y2 to the given ODEs:

(a) y′′+2y′+y=0, y1 =xe−x

(b) y′′+9y=0, y1 =sin3x
(c) x2y′′+2xy′−6y=0, y1 =x2

(d) xy′′ +y′ =0, y1 =lnx

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