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Usage 1: Differential Equations - Example 2

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DCJproblemsolver.html FIRST A PRAYER: Hail Mary full of grace the Lord is with thee. Blessed are thou among women and blessed is the fruit of thy womb Jesus! Holy, Mary Mother of God pray for us sinners now and at the hour of our death! Amen! For the differential equations of the type discussed below I will also provide a link to the other problems from fields like biology and engineering where the solution methods are relavent. Hi, It's time to solve our second example problem. In it we shall verify that xsiny = cos y is a solution of (dy/dx)[xcoty + 1] = -1 As can be seen below, our solution is approached by diffentiation. The formula in question is differentiated with respect to x. Given that y is a function of x all y derivatives will have dy/dx along with them. I shall discuss the methodology line by line. The first in is the differentiation step. Notice that it is done on both sides. On the second line the result of the different...
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Engineering Economics Example1

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EngineerEconEx1.html Say this prayer: it helps! St. Michael the Archangel defend us in battle. Be our protection against the wickedness and snares of the Devil. May God rebuke him, we humbly pray, and do thou most Heavenly host, by the power of God cast into hell Satan and all the evil spirits who roam around the world seeking the ruin of souls. Amen. Ok, here's my first Engineering Economics Example(using Newnan, Eschenbach, and Lavelle) as the resource. A construction aggregate mixture of a substance needs to contain at least 33% of a substance we shall call material A by volume to be correct. A certain source material has 27% material A and 73% course aggregate sells for $5.00 per cubic meter (m^3). Another source which has 42% material A and 58% course aggregate material sells for $8.6 per cubic meter. Determine the least cost per cubic meter of blended aggregates. Let x = portion of blended aggregates $5.00 / m^3 source Let 1-x = portion of ...
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MicroElectEx1

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MicroElectEngineerEx1.html Say this prayer: it helps! St. Michael the Archangel defend us in battle. Be our protection against the wickedness and snares of the Devil. May God rebuke him, we humbly pray, and do thou most Heavenly host, by the power of God cast into hell Satan and all the evil spirits who roam around the world seeking the ruin of souls. Amen. Ok, here's my first MicroElectrical Engineering Problem example. No differential equations here, but still much fun. The input and output signals for an op-amp circuit are shown below. We wish to determine (a) if the op-amp circuit is linear and (b) the circuit gain. Below: solution (a)If the circuit is linear then the output is proportional to the input. Looking at the input-output indicates that between 1.25 ms and 2.5 ms and 4 ms and 6 ms the output is constant, but the input is changing. Thus, here the op-amp circuit is in SATURATION and is NOT LINEAR!! Below: solution (b) Between 0 and...
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