Linear first order ODE

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)