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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.

(v) Whether a solution of *  grows exponentially or decays exponentially depends on the initial conditions.

(vi) A solution of *  may be a non-zero constant.

(vii) The only solution of *  is the trivial solution y(x)0.

(b) Now consider the differential equation *  with the initial values y(0)=1 , dydx(0)=0.

What is the value of y(1)?

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