Many Renaissance artists sketched preliminary studies for larger works. These drawings were studies from life: a bird wing, the profile of a face, light and shadow on fabric, etc.This practice of looking in detail, followed by drawing gave Renaissance painting its naturalism.A practice used in many current drawing studios that is designed to build close observational skills and foster hand and eye coordination is called Blind Contour.Blind Contour does not produce a proportional beautiful drawing (although often beautiful in its own way) it is an exercise in looking deeply. In a Blind Contour do not expect your drawing to look like your subject in a conventional sense.Guidelines for Blind Contour:· You will need a piece of paper, a pencil, and a subject to draw (this can be anything that will not move around: a bowl of fruit, your shoes, etc).· Set your subject up in front of you and position your paper off to the side by your drawing pencil.· Pick a spot on your subject to look at and set your pencil on the paper.· As your eye travels sloooowly over your subject (look for as much detail as possible) allow your pencil to follow along on the paper.· Do not lift your pencil off the paper.· Do not look at your paper-only at your subject. (the urge to peek can be overwhelming-resist!)· Look at, and draw, everything.When you are finished take a picture of your drawing, write a few words about your drawing experienceDue after 17 hours
Obtain the general solution of the following DEs: i. y′′′ + y′′ − 4y′ + 2y = 0 ii. y(4) + 4y(2) = 0 iii. x(x − 2)y′′ + 2(x − 1)y′ − 2y = 0; use y1 = (1 − x) iv. y′′ − 4y = sin2(x) v. y′′ − 4y′ + 3y = x ; use y1 = e3x vi. y′′ + 5y′ + 6y = e2xcos(x) vii. y′′ + y = sec(x) tan(x)
Obtain the general solution of the following DEs: i. y′′′ + y′′ − 4y′ + 2y = 0 ii. y(4) + 4y(2) = 0 iii. x(x − 2)y′′ + 2(x − 1)y′ − 2y = 0; use y1 = (1 − x) iv. y′′ − 4y = sin2(x) v. y′′