Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

(1 point) Consider the second order differential equation with initial conditions u +6.5u'+3u = -1.5 sin(31), u(1)=-6, u'(1) = -4.5. Without solving it, rewrite

image text in transcribed

(1 point) Consider the second order differential equation with initial conditions u" +6.5u'+3u = -1.5 sin(31), u(1)=-6, u'(1) = -4.5. Without solving it, rewrite the differential equation as an equivalent set of first order equations. In your answer use the single letter u to represent the function u and the single letter v to represent the "velocity function" u'. Do not use u(t) or u(t) to represent these functions. Expressions like sin(t) that represent other functions are OK. u = v' = Now write the first order system using matrices: d u PR == The initial value of the vector valued solution for this system is: u(1) v(1) =

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Advanced Engineering Mathematics

Authors: A. Ramakrishna Prasad

1st Edition

8126543876, 978-8126543878

More Books

Students also viewed these Mathematics questions

Question

Did the researcher use triangulation?

Answered: 1 week ago