How to use Laplace Transform to solve Differential Equations Full Example













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http://youtube.com/watch?v=Kdli4yUyu94



We do a full example solving an Initial Value Problem or IVP using the method of Laplace Transforms. This involves applythe Laplace Transform to the differential equation, substituting in the inital conditions, using partial fraction decomposition with an irreducible quadratic to clean up the algebra, and then doing an inverse Laplace Transform to get back to a solution of the IVP. • • This is part of my series on the Laplace Transform in my Differential Equations Playlist:    • Laplace Transforms and Solving ODEs   • • **************************************************** • Other Course Playlists: • ►CALCULUS I:    • Calculus I (Limits, Derivative, Integ...   • ► CALCULUS II:    • Calculus II (Integration Methods, Ser...   • ►MULTIVARIABLE CALCULUS III:    • Calculus III: Multivariable Calculus ...   • ►DISCRETE MATH:    • Discrete Math (Full Course: Sets, Log...   • ►LINEAR ALGEBRA:    • Linear Algebra (Full Course)   • *************************************************** • ► Want to learn math effectively? Check out my Learning Math Series: •    • 5 Tips To Make Math Practice Problems...   • • ►Want some cool math? Check out my Cool Math Series: •    • Cool Math Series   • **************************************************** • ►Follow me on Twitter:   / treforbazett   • ***************************************************** • This video was created by Dr. Trefor Bazett. I'm an Assistant Teaching Professor at the University of Victoria. • BECOME A MEMBER: • ►Join:    / @drtrefor   • MATH BOOKS MERCH I LOVE: • ► My Amazon Affiliate Shop: https://www.amazon.com/shop/treforbazett

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