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Please describe what is INTEGRATION FACTOR in a linear differential equation. Please explain with a worked example. Thanks.
example => dy/dx + y/x = x...................1
this equation is similar to dy/dx + y(f(x)) = g(x) .....................2
these types of differential equations are solved by following steps
at first calculate I.F (integration factor)
I.F = ef(x)dx
solution of this equation 2 will be now
y(IF) = g(x)IF dx ........................3
for equation 1 , IF = ef(x)dx = e(1/x)dx = elnx = x
solution will be
yx = x2dx
yx = x3/3 + c
if u still having problem then ask
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