Examples of differential equations with solutions

“Ordinary Differential Equations:-            In mathematics, the term “Ordinary Differential Equations” also known as ODE is a relation that contains only one independent variable and one or more of its derivatives with respect to the variable. In other words, the ODE’S is represented as the relation having one real variable x, the real dependent variable y, with some of its derivatives. Y’,y”, ….yn ,…with...

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Thermal stresses induced in bars of tapering section due to change in temperature_

Define Temperature Stresses :-                  When ever there is some increase or decrease in temperature of a body, it cause the body to expand or contract. If the boys is allowed to expand or contract freely, with the rise or fall of the temperature, no stresses will be induced in the body. But if the deformation of the body is prevented some stresses are induced in the body. Such stresses are called...

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Fourier Transform Question || Engineering mathematics

FOURIER TRANSFORM:- The Fourier transform (FT)         decomposes a function of time (a signal) into its constituent frequencies. This is similar to the way a musical chord can be expressed in terms of the volumes and frequencies of its constituent notes. The term Fourier transform refers to both the frequency domain representation and the mathematical operation that associates...

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