differential equations summary

A function f(x) is said to be derivable at a point x = a if A function f(x) is said to be derivable at a point x = a if Left hand derivative Lf '(a) Right hand derivative Rf '(a) f ' (a) exists at x = a iff Lf ' (a) = Rf ' (a)..

1. An equation involving independent variables dependent variable and their derivatives is called a differential equation. 2. A differential equation which involves only one independent variable is called an ordinary differential..

Thyroid secretes thyroxine, triiodothyronine and calcitonin, which enhance the metabolic rate, promote body growth and tissue differentiation. Failure of thyroid secretion produces cretinism in young age and myxoedema in adults. Excess secretion of thyroid hormone causes Graves dise..

Growth is an irreversible increase in size and weight of an organism. The cells of the body do not grow uniformly but differentially. The main types of growth are auxetic, multiplicative and accretionary. The human growth curve is sigmoid and is controlled by hormones. Regeneration is of ..

Growth is one of the most fundamental characteristics of living organisms. It is accompanied by differentiation. The growth cycle of an annual monocarpic angiosperm begins with the zygote which undergoes a period of dormancy. Later, the dormant embryo develops into a seedling which grows ..

An angiosperm plant body is composed of two basic types of tissues namely meristematic and permanent tissues. Meristematic tissue is formed by undifferentiated, embryonic cells called meristematic cells. Meristematic cells are compactly arranged. They have thin cell wall abundant cytoplasm ..

Let y = f(x) be a smooth curve and P(x,y) be a point on the curve. Equation of the tangent at (x 1 , y 1 ) in the curve y = f (x) is y - y 1 Equation of the nor..

Endocrine system consists of many endocrine or ductless glands, which secrete hormones into the blood. Hormones are information molecules, which regulate specific physiological processes in the target cell, tissues or organs. Hormones co-ordinate the activities of different organs and tissu..

All higher multicellular animals, called eumetazoans, exhibit a tissue and higher levels of organization There are four primary tissues in animals epithelial, muscular, connective and nervous Epithelial tissue (epithelium) is the simplest. It is avascular and develops from all the three pri..