šµ21c - Method of Undetermined Coefficients 3 - G(x) = Exponential Functions - Non - Homogeneous D.E
In this lesson we shall learn how to solve the general solution of a 2nd order linear non-homgeneous differential equation. Given a non-homogeneous differential equation: ay'' + by' + cy = G(x), where G(x) is not zero. The general solution is given by: y = yc + yp. To find the general solution, you first need to treat the given D.E as a homogeneous D.E, and solve its general solution - that becomes the general solution called the complementary function, yc. For the yp, the particular integral, is obtained using the method of undetermined coefficients. 00:00 - Exponential Functions 01:26 - Example 5 08:09 - Example 6 20:21 - Example 7 Playlists on various Course 1. Applied Electricity Ā Ā Ā ā¢Ā APPLIEDĀ ELECTRICITYĀ Ā 2. Linear Algebra / Math 151 Ā Ā Ā ā¢Ā LINEARĀ ALGEBRAĀ Ā 3. Basic Mechanics Ā Ā Ā ā¢Ā BASICĀ MECHANICSĀ /Ā STATICSĀ Ā 4. Calculus with Analysis / Calculus 1 / Math 152 Ā Ā Ā ā¢Ā CALCULUSĀ WITHĀ ANALYSISĀ /Ā CALCULUSĀ 1Ā /Ā MATH...Ā Ā 5. Differential Equations / Math 251 Ā Ā Ā ā¢Ā DIFFERENTIALĀ EQUATIONSĀ Ā 6. Electric Circuit Theory / Circuit Design Ā Ā Ā ā¢Ā ELECTRICĀ CIRCUITĀ THEORYĀ /Ā CIRCUITĀ DESIGNĀ Ā Make sure to watch till the end. Like, share, and subscribe. Thank you.
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