Solve the following initial value problems (ivp) using the modified euler’s method with a) the average derivative and b) the derivative at midpoint: 1. dy dx = 4y x , subject to: y(1) = 2 → y(x) = 2x 4 2. dy dx = −2y − x, subject to: y(0) = −1 → y(x) = 2 − 3e −x − 2x integrate over the interval x = [1, 3] for the first ivp and over x = [0, 3] for the second ivp using 4 and 5 intervals. you will use the given true solution to determine the absolute error of the methods.

the reason why your question keeps getting deleted because this is not a school related question : )

i will answer your question though.

i never tried church's

a. turk and mcalister

b. howard, mission, and market

c. yes. since streets end some do not cross yet are not parallel to others. example: mcalister and 5th

step-by-step explanation:

parallel lines are lines which do not intersect ever and look a lot like railroad tracks. turk, mcalister and golden gate are examples of these.

intersect are streets which cross each other and a car on one can reach the other. howard, mission, and market intersect with 6th.

skew lines are lines which neither intersect nor are parallel. these lines exist here because some streets end and never intersect another like mcalister and 5th.