Q.Give an integration example with step by steps...
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1. Theory
Consider an ordinary differential equation (o.d.e.) that we wish to
solve to find out how the variable y depends on the variable x.
If the equation is first order then the highest derivative involved is
a first derivative.
If it is also a linear equation then this means that each term can
involve y either as the derivative dy
dx OR through a single factor of y .
Any such linear first order o.d.e. can be re-arranged to give the fol-
lowing standard form:
dy
dx + P(x)y = Q(x)
where P(x) and Q(x) are functions of x, and in some cases may be
constants
Consider an ordinary differential equation (o.d.e.) that we wish to
solve to find out how the variable y depends on the variable x.
If the equation is first order then the highest derivative involved is
a first derivative.
If it is also a linear equation then this means that each term can
involve y either as the derivative dy
dx OR through a single factor of y .
Any such linear first order o.d.e. can be re-arranged to give the fol-
lowing standard form:
dy
dx + P(x)y = Q(x)
where P(x) and Q(x) are functions of x, and in some cases may be
constants
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integration of (x^2+2x+2)
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