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[Solved]: Example 10.3. Consider the following homogeneous
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(Solved): Example 10.3. Consider the following homogeneous third order linear differential equation y ...



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Example 10.3. Consider the following homogeneous third order linear differential equation


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To solve the homogeneous third-order ordinary differential equation (ODE) given by:

  
we can use the method of characteristic equations. Let's proceed with the solution:
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