Section 10.1 Separable Equations I MAT 1235 Calculus II Section 10.1 Separable Equations I http://myhome.spu.edu/lauw

HW WebAssign 10.1 Part I

Toolbox Approach Given a differential equation Identify the type/nature of the differential equation. Use the specified techniques to solve for the solutions.

Separable Equations Technique: Separation of Variables

Example 1

Remarks 1. is called the general solutions of the D.E. 2. We can verify the solution by differentiation.

Remarks 3. The value of C can be fixed if additional condition is given. e.g. y(0)=4 (initial condition)

Remarks 3. The value of C can be fixed if additional condition is given. e.g. y(0)=4 (initial condition) 4. is called the particular solution of the D.E.

Solution Curves

Example 2

Remarks

Example 2

Example 3

Example 3