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    Mathematics
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    Elementary Differential Equations
  4. Exam
    Exam 5: Series Solutions of Second-Order Linear Equations
  5. Question
    Consider the Second-Order Differential Equation + 100y = 0
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Consider the Second-Order Differential Equation + 100y = 0

Question 57

Question 57

Essay

Consider the second-order differential equation Consider the second-order differential equation   + 100y = 0. Assume a solution of this equation can be represented as a power series    Assume the solution of the given differential equation is written as     Identify elementary functions for y<sub>1</sub> (x) and y<sub>2</sub> (x).  y<sub>1</sub> (x) = ________ y<sub>2</sub> (x) = ________ + 100y = 0.
Assume a solution of this equation can be represented as a power series Consider the second-order differential equation   + 100y = 0. Assume a solution of this equation can be represented as a power series    Assume the solution of the given differential equation is written as     Identify elementary functions for y<sub>1</sub> (x) and y<sub>2</sub> (x).  y<sub>1</sub> (x) = ________ y<sub>2</sub> (x) = ________
Assume the solution of the given differential equation is written as
Consider the second-order differential equation   + 100y = 0. Assume a solution of this equation can be represented as a power series    Assume the solution of the given differential equation is written as     Identify elementary functions for y<sub>1</sub> (x) and y<sub>2</sub> (x).  y<sub>1</sub> (x) = ________ y<sub>2</sub> (x) = ________
Identify elementary functions for y1 (x) and y2 (x).
y1 (x) = ________
y2 (x) = ________

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