Differential Equations

no

to bad!

yes

Is it a system of linear differential equations?

yes

solve using the method of variation of peramiters.

no

is it an IVP?

yes

Use Laplace transforms

no

Is it first order, second , order or higher order?

first order?

yes

can you integrate directly?

yes

integrate directly and solve.

no

can you separate variables?

yes

Use separation of variables and solve.

no

use integrating factor method and solve.

no

try second order

second order?

yes

is there a driving force?

yes

is the driving force simple or complex?

simple

use the method of undetermined coefficients and solve.

complex

use the method of variation of perameters and solve

no

solve for the homogeneous using the method of undetermined coefficients.

no

go to higher order.

higher order?

Use laplace transform to solve.