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Question: consider the secondorder ordinary differential equation d2ydx2dydx2y0 a are...

Question details

Consider the second-order ordinary differential equation 

d2ydx2-dydx-2y=0 *.

(a) Are the following statements true or false? Please explain.

(i) A non-trivial solution of * will always grow exponentially.

(ii) A non-trivial solution of * will always exponentially decay.

(iii) A solution of * could grow linearly.

(iv) A solution of * may be oscillatory.

 

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