Session 19: Second order Homogeneous Linear differential equation with constant coefficients!!
In this video, we will talk about the method which will help us to find the solution to second-order linear homogeneous differential equations with constant coefficients.
First, we find Auxillary equation then on the behavior of roots of auxiliary equations we determine 2 linearly independent solutions of given differential equations. The behavior of roots will depend on the discriminant of the quadratic equation.
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link for Basis and General Solution:
• Session 14: Initial value problem, basis a...
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Link for reduction to first order:
• Session 15: Reduction to first order of li...
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Link to reduction to first-order- Part II
• Session 16: Reduction to first order for D...
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Link to Wronskian:
• Session 17:Connection between linearly ind...