Linear first order ODE: Difference between revisions
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Latest revision as of 19:48, 17 May 2024
Linear first order ODE's
Homogeneous of g(t) = 0
Constant coefficient if p(t) = a is a constant. Otherwise, variable coefficient.
Examples: y' + ty = 2 nonhomogeneous, var y' + 2y = 2 nonhomogeneous, constant y' + 2y = 0 homogeneous, constant
Factor emthod 2.1
y' + p(t) y = g(t)
Compute integrating factor
mu(t) = exp(int p(t) dt)
