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Separable Equation

Separable Equation. Step 1 – identify the problem as a separable equation Step 2 – Separate the equation into the form. Rearrange to Step 3 – integrate both sides of the equation , adding one arbitrary constant, say C, to the x side. Evaluate

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Separable Equation

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  1. Separable Equation • Step 1 – identify the problem as a separable equation • Step 2 – Separate the equation into the form. Rearrange to • Step 3 – integrate both sides of the equation, adding one arbitrary constant, say C, to the x side. Evaluate • Step 4 - If there is an initial condition, then substitute it to obtain the value of C

  2. Example 1 1 5 2 6 3 7 4

  3. Example 2 SOLUTION

  4. Example 3 SOLUTION

  5. EXERCISE 1 2 3 4 5

  6. HOMOGENEOUS Equation • Step 1- Write to the general form . Make sure this equation is homogeneous. Need to show • Step 2 - Use substitution and into homogeneous equation in Step 1. • Step 3 - Separate the variables x and v in the resulting equation. • Step 4 - Integrate both sides of the equation and then put only a constant, say C on the right integration. When this equation is integrated then we obtain a relationship between x and v. • Step 5 - Then by substituting we have the required solution. • Step 6 - If there is an initial condition, and then use it to obtain the value for C.

  7. Example 2 SOLUTION

  8. linear Equation

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