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Section C.3 Integrating Factor

Standard Form.

an(x)y(n)+an1(x)y(n1)++a2(x)y+a1(x)y+a0(x)y=f(x).
a1(x)y+a0(x)y=f(x),
a1(x),
y+a0(x)a1(x)P(x)y=f(x)a1(x)Q(x).
y+P(x)y=Q(x),
standard form

Integrating Factor Calculation Details.

dμdx= 2μ1μdμ= 2dx1μdμ= 2dxln|μ|= 2x+c(c=0)μ= e2x
c.
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