types of first order linear differential equations

Given Integrate both sides, Integrating once again,..

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 ac..

The different ways of solving differential equation are a follows:The different ways of solving differential equation are a follows: Method of separation of variables Homogeneous differential equations Linear differential..

Any function that satisfies a differential equation is known as the ________ of that differential equation. => Degree or Order or General solution or Particular solution or Linear solution..

For the reaction A Products, which follows first order kinetics, the rate of the reaction is proportional to the concentration of A raised to power 1. i.e., Integration of the differential equation gives In [A] = - kt + constant At t = 0, [A] = [A] o..

A first-order differential equation is said to be linear if, in it, the unknown function y and its derivative y' appear with non-negative integral index not greater than one and not as product yy' either. Hence, a first-order linear ..

where l is a constant of proportionality which is called by Rutherford and Soddy as Radioactive (or decay or disintegration) constant. The rate of disintegration has a negative sign showing that the number of atoms of A decreases with time. In the differential form, the equation..

Proteins, which constitute about 10 to 12% of the cell contents, are macromolecules having a significant role in the metabolism of a cell. Proteins are polymers of amino acids. Each protein is a linear, unbranched, polypeptide molecule. The order in which amino acids occur is ..

. Further, as electron would lose energy continuously, the atoms should emit electro-magnetic waves over a continuous range. But atoms emit only discrete frequency wavelengths only. From alpha ray scattering experiment, Rutherford calculated distance (r o ) of closest approach of a - particle to th..