Reduction of Order Problem for Differential Equations Class

Thread starter M87TJC
Start date Oct 4, 2021
Tags

Class Differential Differential equations Reduction

Click For Summary

The discussion centers on a second-order linear differential equation that was initially not in standard form. The poster realized that by dividing the equation by 4, it could be transformed into the correct standard form. This adjustment allowed for the proper application of solution techniques. The importance of ensuring equations are in standard form before solving is emphasized. Correctly formatting the equation is crucial for obtaining accurate solutions in differential equations.

Oct 4, 2021

M87TJC

Homework Statement: Find second solution for differential equation using reduction of order (see first image)

Relevant Equations: equation labeled (5) in first image in addition to equation 1

Problem statement:

Second order linear differential equation in standard from

Reasoning:

Physics news on Phys.org

Oct 4, 2021

M87TJC

I just looked back at the original problem, and I realized that I did not put the equation into standard form. If I divide the equation by 4 and repeat the same process I get the correct answer.

Thread 'Distance between a Clock's hands when the distance is increasing most rapidly'

Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

View full post »