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How to Use Reduction of Order and Wronskian on Higher Order Differential Equations Problem Solution
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In this video we look at how the Reduction of Order Method to Solve Higher Order Homogeneous Differential Equations was invented. We use a given solution to find a second solution for a second order differential equation. We also see how to use the Wronskian determinant to find Linear Independence for these solutions.
Video Details: Reduction of Order, Second Order Differential Equations, Higher Order Differential Equations, homogeneous differential equations. Wronskian for differential equations, how to use Wronskian determinant, linear independent functions, linear independence
Problem Statement: The function y1 =x^2 is a solution of x^2y''+3xy'+4y=0. Find the general solution of the differential equation on the interval (0,inf).
Book: Differential Equations with Boundary-Value Problems by Dennis Zill and Michael Cullen, 7th Edition
Domain: Computer Science, Mathematics
Course: Differential Equations
Channel: Solving Skills
Author: Muhammad Salman Chaudhry
Copyright: All Rights Reserved
Video Details: Reduction of Order, Second Order Differential Equations, Higher Order Differential Equations, homogeneous differential equations. Wronskian for differential equations, how to use Wronskian determinant, linear independent functions, linear independence
Problem Statement: The function y1 =x^2 is a solution of x^2y''+3xy'+4y=0. Find the general solution of the differential equation on the interval (0,inf).
Book: Differential Equations with Boundary-Value Problems by Dennis Zill and Michael Cullen, 7th Edition
Domain: Computer Science, Mathematics
Course: Differential Equations
Channel: Solving Skills
Author: Muhammad Salman Chaudhry
Copyright: All Rights Reserved