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Chapter 1 : Elec. Energy Conversion

1-   Introduction .
2-   Meaning ofenergy .
3-   Forms of energy.
4-   Energy resources.
5-   Conventionalmethods for elec. Energy conversion .
6-   Alternativemethod of elec. Energy conversion .

Qu. 1 : write down the advantages ofelec. Energy ?

Sol : The main advantages are
1-   electrical formcan be transmitted .
2-   the electricalenergy easy utilization .
3-   if more easilycontrolled .

الطاقة :- القدرة على بذل الشغل .
Qu 2 : definition
of energy
Is the ability to
do work .

Qu 3 : The
petroleum stokes can last only about 50 year and so its now to look for
substance to generate electrical energy instead of the petroleum .
-       write down some of the importance steps in thisdirection ?

S ... Read more »
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الصورة العامة  -  y' = F(x,y)

or

M(x,y)dx + N(x,y)dy = 0

1- Separable equations :


ويتم فيها فصل x عن y (فصل المتغيرات)

to solve the separable equation :

1. set y' = dy/dx

dy/dx = f(x)g(y)

2. dy/g(y) = f(x)dx

3. by integration we obtain the solution .

:: Special case ::


- If the DE in the form   y' = F ( ax + by + c )

to solve this equation we set   [ ax + by + c = z ]

2- Homogeneous equations :


F(x,y) is called homogeneous of degree if F( tx, ty ) = tn F(x,y)

إذا كان كل حد من حدود المعادلة من نفس الدرجة تبقى homogeneous

or x/y or y/x

a DE     M(x,y)dx + N(x,y)dy = 0

is called homogeneous if M(x,y) & N(x,y) are hom ... Read more »
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Differential Equations


divided two branches : 
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