Steps For Solving First Order Differential Equation



Steps:

1) TRANSFORM the differential equation to the form: 

$$\frac{dy}{dx} = f \left( x,y \right)$$

2) Test for Linear form: 

$$f \left( x,y \right) = g \left( x \right) y + h \left( x \right)$$

3) Test for Bernoulli equation: 

$$f \left( x,y \right) = g \left( x \right) y + h \left( x \right) y^{a}$$

4) Test for Variable separable: 

$$f \left( x,y \right) = g \left( x \right) h \left( y \right)$$

5) Test for Homogeneity: 

$$f \left( x,y \right) = f \left( tx, ty \right)$$

6) Test for Exactness

Back To First Order Differential Equations

Back To University Year 1 Physics Notes



Mini Physics

As the Administrator of Mini Physics, I possess a BSc. (Hons) in Physics. I am committed to ensuring the accuracy and quality of the content on this site. If you encounter any inaccuracies or have suggestions for enhancements, I encourage you to contact us. Your support and feedback are invaluable to us. If you appreciate the resources available on this site, kindly consider recommending Mini Physics to your friends. Together, we can foster a community passionate about Physics and continuous learning.



Leave a Comment

This site uses Akismet to reduce spam. Learn how your comment data is processed.