5. What is A higher order differential equation with initial conditions given at a certain point...

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5. What is A higher order differential equation with initial conditions given at a certain point of the function? 1. The roots of a cubic auxiliary equation are 4, -5, -5. What would be the possible homogenous Solution? Discuss: Is your answer unique? (5 pts) 2. Based on a function, try to construct a non-homogenous differential equation with at least, 2nd order present. (10 pts) 3. Make up a 2nd order differential equation that you feel confident possesses only the trivial solution Y=0. Explain your reasoning. (10 pts) 5. What is A higher order differential equation with initial conditions given at a certain point of the function? 1. The roots of a cubic auxiliary equation are 4, -5, -5. What would be the possible homogenous Solution? Discuss: Is your answer unique? (5 pts) 2. Based on a function, try to construct a non-homogenous differential equation with at least, 2nd order present. (10 pts) 3. Make up a 2nd order differential equation that you feel confident possesses only the trivial solution Y=0. Explain your reasoning. (10 pts)

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