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# Calculus II - 14

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Stewart Calculus Section 9.3

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• ### Calculus II - 14

1. 1. 9.3 Separable Equations For some certain types of differential equations, there exist explicit solution. A separable equation is a first order differential equation in which the expression for the derivative / can be factored as a function of and a function of : = ( )· ( )
2. 2. = ( )· ( )Examples: = = = +
3. 3. = ( )· ( )
4. 4. = ( )· ( ) = ( )( )
5. 5. = ( )· ( ) = ( )( ) = ( )( )
6. 6. = ( )· ( ) = ( )( ) = ( )( ) ! ction i t fu n An i mplic
7. 7. Ex: =
8. 8. Ex: = =
9. 9. Ex: = = =
10. 10. Ex: = = = = +
11. 11. Ex: = = = = + = +
12. 12. Ex: = = = = + = + = +
13. 13. Ex: = +
14. 14. Ex: = + = +
15. 15. Ex: = + = + = +
16. 16. Ex: = + = + = + = +
17. 17. Ex: = + = + = + = + = +
18. 18. Ex: = + = + = + = + = + = ( + )