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\nLinear Second-Order Differential Equations Part 2: Non-Homogeneous Differential Equations\n

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\n\nPublisher:\n\nProfessor Dave Explains\n\n\n
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\nWe just learned how to solve homogenous linear second-order differential equations. Now it's time to tackle the non-homogenous variety. This will start out the same way that we learned in the previous tutorial, but that will get us...\nWe just learned how to solve homogenous linear second-order differential equations. Now it's time to tackle the non-homogenous variety. This will start out the same way that we learned in the previous tutorial, but that will get us something called the complementary solution. Then we have to add to that a particular integral, depending on the function on the right side of the equation. This can be done by two methods. We can use the method of undetermined coefficients, which will involve selecting a trial function, or we can perform the variation of parameters, by calculating something called the Wronskian. It's hard to explain, let me just show you!\n
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Resource Details

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Media Length
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9:47
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Grade
9th - Higher Ed
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Subjects
Math
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\nProfessor Dave Explains\n\n
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Date
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2025
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English
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For Teacher Use
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Concepts

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resonance, terms
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Additional Tags

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nonhomogenous linear second order differential equations, variation of parameters, method of undetermined coefficients, wronskian, resonant frequency, particular integral, complementary solution, trial function, undetermined coefficient, linearly independent, basis functions, external force, general solution, 3x terms, homogeneous case, function, solution, order, equation, homogeneous
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\n\" data-title=\"Get Full Access\" data-container=\"body\" rel=\"popover\" tabindex=\"0\" aria-label=\"Play video: Linear Second-Order Differential Equations Part 2: Non-Homogeneous Differential Equations\" href=\"/subscription/new\">\"Linear\n\n
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