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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.

(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 $y\left(x\right)\equiv 0.$

(b) Now consider the differential equation with the initial values

What is the value of y(1)?