Update: 01/19/02

DE Type Reference

DifEq Main


Type

Form

Solution Steps Page


first-order exact DE

when

ch2_first_order_steps_
exact_eq


first-order linear DE integrating factor

ch2_first_order_steps_
linear_eq


first-order separable DE

ch2_first_order_steps_
separable_eq


first-order Bernoulli DE

ch2_first_order_steps_
sub_bernoulli_eq


first-order homogeneous DE

both M and N are homogeneous functions of the same degree

ch2_first_order_steps_
sub_homo_eq


first-order DE - reduction to separation of variables

ch2_first_order_steps_
sub_reduction_eq


higher order homogeneous linear DE with constant coefficients ch4_higher_order_steps_
homo_lin_const_eq

higher order non-homogeneous linear DE with constant coefficients using annihilator
can be used when g(x) can be annihilated
ch4_higher_order_steps_
nonhomo_lin_annih_eq

higher order nonhomogeneous linear Cauchy-Euler DE
the degree of the monomial coefficients x k matches the order k of differentiation of its corresponding term
ch4_higher_order_steps_
nonhomo_lin_cauchy_eule

second-order linear DE - second solution from first by reduction of order equation ch4_higher_order_steps_
reduction_eq

higher order (and second order) non-homogeneous linear DE with constant coefficients using Wronskian  
and

can be used when f(x) cannot be annihilated
ch4_higher_order_steps_
nonhomo_lin_wronskian_e

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