Math2250

Mais informações

VM270 6350

por Erik Henriquez

Differential equations

por Cameron Coombs

Math Summative

por Maham Saif - T L Kennedy SS (2352)

Elementary Mathematics

por Elizabeth Flores

Solving Differential Equations

First Order DE

Integrate Directly?

No: try and separate

Separtable?

No: Try integrating Factor

Can be written in the form y'+P(t)=f(t)

No:Use Euler's Method

Yes: use integrating Factor

Yes: integrate and solve for y

Yes: Integrate and solve for y

Higher Order DE

Homogenous?

No:Find Homogenous and Particular Solution y(t) = yh(t) + yp(t) (Non-homogenous)

Any of the other used to find Homogenous solution

System of first order DE

Use Eigenvalues and Eigenvectors

Laplace Transformation

Yes: Find Homogenous Solution

Use Variation of Parameter

Use Undetermined Coefficients

Use Real Charaacteristic Roots

Check for repeated roots

Use Complex Characteristic Roots

General Solution

any IVP

No: find general solution

Yes: insert IVP into general solution