Differential Equations

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Differential Equations

Is the differentail equation linear?

yes

Is it a system of linear differential equations?

is it an IVP?

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

higher order?

Use laplace transform to solve.

second order?

go to higher order.

is there a driving force?

solve for the homogeneous using the method of undetermined coefficients.

is the driving force simple or complex?

complex

use the method of variation of perameters and solve

simple

use the method of undetermined coefficients and solve.

first order?

try second order

can you integrate directly?

can you separate variables?

use integrating factor method and solve.

Use separation of variables and solve.

integrate directly and solve.

Use Laplace transforms

solve using the method of variation of peramiters.

no

to bad!