formation of linear differential equations

The equation y = mx has one arbitrary constant and its differential equation is of order 1. The equation y = mx + c has two arbitrary constants and its differential equation is of order ..

Consider the family of lines represented by y = mx .(1)Consider the family of lines represented by y = mx .(1) This equation represents infinite number of lines passing through the origin. Differentiating (1), we get Substituting this value of m, we get the differential..

Conclusion Differential Equations - In this chapter we have the formation of differential equations and also some methods of solving the differential equations namely, variables separable methods, homogeneous differential..

A differential equation which is not linear, is called non-linear. Example: is a non - linear differential equation because is multiplied by itse..

This occurs a little lower down the zone of elongation. Here the cells start maturing to obtain a permanent size. The thin stretched cell walls grow in thickness and then gradually undergo structural and physiological changes depending on their location in the plant. The time interval from the cell..

Polyethylene or Polythene Formation - It is obtained by polymerization of ethylene under a high pressure of 1000 to 2000 atmospheres at a temperature of 350 to 570 K in the presence of traces of oxygen or a peroxide which initiates the polymerization. The mode of formation is sh..

Petroleum is believed to have been originated from the remains of sea organisms. The micro organisms have largely contributed to the formation of petroleum. Due to the effect of heat, pressure and catalytic action of anaerobic bacteria, the buried remains of sea organisms decomposed very..

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Differential equations of order 2 or more are known as Higher order differential equation. Example: is a higher order differential equation. Differential equations are also classified according to their linearit..