Find the function y1 of t which is the solution of 121y′′+88y′+12y=0 with initial conditions y1(0)=1,y′1(0)=0. Find the function y2 of t which is the solution of 121y′′+88y′+12y=0 with initial conditions y2(0)=0,y′2(0)=1. Find the Wronskian W(t)=W(y1,y2).

Find the function y1 of t which is the solution of 121y′′+88y′+12y=0 with initial conditions y1(0)=1,y′1(0)=0. Find the function y2 of t which is the solution of 121y′′+88y′+12y=0 with initial conditions y2(0)=0,y′2(0)=1. Find the Wronskian W(t)=W(y1,y2).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 47RE

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

Find the function y1 of t which is the solution of 121y′′+88y′+12y=0 with initial conditions y1(0)=1,y′1(0)=0.

Find the function y2 of t which is the solution of 121y′′+88y′+12y=0 with initial conditions y2(0)=0,y′2(0)=1.

Find the Wronskian

W(t)=W(y1,y2).

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