Week 5 Lab
Name_
Part I: Separable Differential Equations
1. What is meant by separable? What should you look for in a differential equation to decide if it
is separable or not?
Differential equations are separable when they are nonlinear and first order.
Week 4 Lab
Name_
Part I: Taylor Series
Directions: Determine the Taylor Series for the following function: for n = 4 where a = 1
1. Determine the first four derivatives of
2. Evaluate and the derivatives above at x = a = 1
0
2
3. The formula for the Taylo
Week 4 Lab
Name_
Part I: Taylor Series
Directions: Determine the Taylor Series for the following function: for n = 4 where a = 1
1. Determine the first four derivatives of
2. Evaluate and the derivatives above at x = a = 1
3. The formula for the Taylor Se
2. Evaluate and the derivatives above at x = 0
1
-3
9
-27
81
3. The formula for the Maclaurin Series is . Plug the values from question 2 into the
formula. Then, simplify the fractions and write the Maclaurin Series approximation for .
4. Enter and the se