Is the Differential Equation Linear?

OUCHIE

Is it a System of Linear Differential Equations?

Yes

Solve Using Variation of Parameters

No

It is an IVP?

Yes

Solve Using Laplace Transformation Method.

No

Is the Differential Equation First Order?

Yes

Can you integrate it directly?

Yes

Solve by direct integration.

No

Is it Separable?

Yes

Solve by Separation of Variables

No

Use the Integrating Factor method to solve.

No

Is the Differential Equation Second Order?

Yes

Is there a Driving Force?

Yes

Simple Driving Force?

Solve using the Method of Undetermined Coefficients.

Complex Driving Force

Solve using Variation of Parameters.

No

Solve using Method of Undetermined Coefficients.

No

Is the Differential Equation Higher Order?

Yes

Use Laplace Transform

No

Go Back the the Beginning.