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2. Show that the function $\phi$: R→R defined by $\phi$(x) = $e^{-x}$ + 2 is the solution of the differential equation y' + y = 2, y(0) = 3.
Solution: $\phi$(x) = e -x + 2 => $\phi$'(x) = -e -x If we replace y by $\phi$(x), we have y'+ y = $\phi$'(x) + $\phi$(x) = -e -x + e -x + 2 = 2 $\phi$ (x) satisfies the equation y' + y = 2 Moreover, $\phi..
Comparison between Physical adsorption and Chemical adsorption
Physical adsorption Chemical adsorption Forces of attraction are van der Waals' forces. Forces of attraction are chemical bond forces. Low enthalpy of adsorption (20 - 40 kJ mol -1 ). High enthalpy of adsorption (80 - 240 kJ mol -1 ) Thi..
Physics and technology
The technological development of any society is very closely related with the application of physics and other branches of science. The study of heat and thermodynamics is one of the main initiators of the industrial revolution. Today we see the applications of physics in eve..
INTRODUCTION TO PHYSICS
What is Physics? The word "Physics" comes from a Greek word "fusis" and its meaning is "nature". Physics as a subject can be regarded as the study of nature and natural phenomena...
NUCLEAR PHYSICS
The discovery of radio - activity marked the beginning of the development of nuclear physics. Rutherford's discovery of nucleus and the artificial radio-activity have shown that nucleus has got its own structure. The structure and properties of the nucleus was further established b..
Physical Equilibrium
Equilibrium is also attained in physical processes such as vaporization and condensation. The conversion of a liquid into vapour is known as vaporization, while the opposite process, i.e., the conversion of a vapour into liquid is called condensation. The molecules of a liquid that..
PHYSICAL PROPERTIES
1. Physical state: Dimethyl ether and ethyl methyl ether are gases at room temperatures. Other lower members are colourless liquids, which are highly volatile. 2. Boiling points: Ethers have much lower boiling points compared to isomeric alcohols as they are not associated with..
Physical properties
1. Ammonia is a colourless gas having pungent and irritating smell. 2. It is lighter than air. 3. It is extremely soluble in water. One litre of water can dissolve more than 1000 litres of the gas at stp. A saturated solution of ammonia in water is called liquor ammonia. The high solubility..
Physical properties
(1) Taste : Acids have a sour taste. Mineral acids like H 2 S0 4 and HN0 3 are highly corrosive in nature. Therefore, they should not be tasted. (2) Physical state : Some acids are solids and some are liquids at room temperature. For example : ..

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