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3. consider the secondorder ordinary differential equation d2ydx2dydx2y0 a are...

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

###### Question details

Consider the second-order ordinary differential equation

.

(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.