Youtor
Solving NonHomogenous Second Order Differential Equations
>> YOUR LINK HERE: ___ http://youtube.com/watch?v=y0NSWbrJcvE
In this video, we shall learn how to solve Second order linear homogeneous differential equations. • A second order linear homogeneous diff equation is given of the form • p(x)d^2y/dx^2 + q(x)dy/dx +r(x)y = 0, where p, q and r are all functions of x. • To solve such equations with constants coefficients, we simply derive the auxiliary equation or the characteristic equation of the differential equation. • This auxiliary equation is quadratic and hence its roots can be found by the • 1. method of factorization or • 2. quadratic formula. • Three cases may arise • if roots are; • Case 1 • real and unequal / distinct • Case 2 • real and equal • Case 3 • complex • 00:00 - Introduction • 07:50 - Nature of roots • 11:13 - Real and unequal / distinct roots • 13:40 - IVP: Real and unequal / distinct roots • 20:45 - Real and equal / roots • 22:26 - complex roots • Playlists on various Course • 1. Applied Electricity • • APPLIED ELECTRICITY • 2. Linear Algebra / Math 151 • • LINEAR ALGEBRA • 3. Basic Mechanics • • BASIC MECHANICS / STATICS • 4. Calculus with Analysis / Calculus 1 / Math 152 • • CALCULUS WITH ANALYSIS / CALCULUS 1 /... • 5. Differential Equations / Math 251 • • DIFFERENTIAL EQUATIONS • 6. Electric Circuit Theory / Circuit Design • • ELECTRIC CIRCUIT THEORY / CIRCUIT DESIGN • Make sure to watch till the end. • Like, share, and subscribe. • Thank you.
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