{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Tutorial_1

# Tutorial_1 - Tutorial 1 Question 1 A cup of coffee has...

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Tutorial 1 Question 1 A cup of coffee has temperature vs. time . Assume the temperature drops according to Newton’s law of cooling: =− − = 20℃ 0 = 80℃ where is a constant, say = 0.1 coffee has an initial temperature of is the constant room temperature, say . 0 = 80℃. Predict . = 20℃. The (a) Are the units consistent between the right side and left side of the ODE? (b) Solve the ODE. Question 2 ODE: + −2 =0 0 =1 BCs: 2 =3 for 0 ≤ Find ≤ 2. Question 3 ODE: +4 =5 0 =0 ICs: ′ 0 =0 Find: Question 4 Using the method of Frobenius, find the first three terms in the series expansion about general solution to the following ODE: 9 +9 +2 =0 for >0 = 0 for a ...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online