Linear first order ODE

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Revision as of 21:12, 8 April 2024 by Rice (talk | contribs) (Created page with "Category:Differential Equations '''Linear first order Ordinary_Differential_Equation''' 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)")
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Linear first order Ordinary_Differential_Equation

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)