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类别全部 - linear - solve - conditions - order

作者：Zach Jones 11 年以前

538

Differential Equations Final

The process of solving differential equations involves determining whether the equation is linear or non-linear and its order. For linear differential equations, if the equation is of the first order, it can either be directly integrated or solved using methods like separation of variables or the integrating factor method.

Differential Equations Final

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Differential Equations

Is Differential Equation Linear?

If Yes

Is Diffential Equation First Order?

Is Differential Equation Second Order?

Can Differential Equation be Written as a Sysetm of First Order Differential Equations?

Solve Using Method of Undetermined Coefficients

Solve Using Eigenvalues and Eigenvectors

Are Intial Conditions Given?

Solve Using Laplace Transforms

Solve Using Variation of Parameters

Solve Using Method of Undertermined Coefficients

Can you Integrate Directly?

Is Differential Equation Separable?

Can it be written in the form y'+p(t)y=f(t)?

Are Initial conditions given?

Try Method of Undetermined Coefficients

Solve Using Laplace Transformations

Solve Using Integrating Factor Method

Solve Using Separation of Variables

Solve by Direct Integration

If No

Are any initial conditions given?

If yes

Try Laplace Transform

Approximate using Euler's Method

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