In multicellular organisms, most cells that are created by mitosis are integrated into the structure of the organism. This week’s lesson looks at what happens to cells that don’t integrate properly, that are not needed, or that fail certain quality-control checkpoints in the cell cycle. Watch the Khan Academy video about apoptosis found at: https://www.khanacademy.org/science/biology/cellular-molecular-biology/stem-cells-and-cancer/v/apoptosis then address the following two issues:Describe at least two ways that apoptosis helps animals.What aspect of apoptosis do you find most interesting or significant? Explain.
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′′