Unformatted text preview: ) y = 0. b) Without explicitly solving the equation x 2 ¢ ¢ y + (sin x ) ¢ y + (cos x ) y = 0, describe its solutions. 4. Consider the equation ¢ ¢ y + ex y = 0. a) Let f ( x ) be a solution of ¢ ¢ y + ex y = 0. Show that y ( x ) = (x ) is a solution of ¢ ¢ y + e x y = 0. b) Without explicitly solving the equation ¢ ¢ y + ex y = 0, describe the behavior of its solutions in as much detail as you can....
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 Spring '08
 Snyder
 Differential Equations, Equations, Linear Independence, Vector Space, ORDINARY DIFFERENTIAL EQUATIONS, linearly independent solutions

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