hw_1_20_09

# hw_1_20_09 - Ma 221 Homework Solutions Spring 2009 Due 1.2...

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Ma 221 Homework Solutions Spring 2009 Due January 20 , 2009 1.2 p.14 # 4 ̄ ,9 ̄ ,1 ̄ 1 ̄ ,1 ̄ 5 ̄ ,2 ̄ 0 ̄ b ̄ , 21b, 2 ̄ 2 ̄ a ̄ ,b ̄ (The underline denotes the problems that are handed in as part of the HW) In problem 4, determine whether the given function is a solution to the given differential equation. 4.) x 3cos t 5sin t , x ′′ x 0 x ′′ 3cos t 5sin t Now substitute the given function in order to see if it is a solution. 3cos t 5sin t 3cos t 5sin t 0 Simplifytoget: 0 0 And, therefore the given function is a solution to the given differential equation. In problems 9 and 11, determine whether the given relation is an implicit solution to the given differential equation. 9.) x 2 y 2 6, dy dx x y Implicitly differentiate to get: 2 x 2 yy 0 Solve to get: y x y Therefore, x y is not a solution. 11.)

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hw_1_20_09 - Ma 221 Homework Solutions Spring 2009 Due 1.2...

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