How do you find the second linearly independent solution using reduction of order.

Examples

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- Jul 14th 2009, 12:56 PMdiddledabble2nd linearly independent solution using reduction of order
How do you find the second linearly independent solution using reduction of order.

Examples

- Jul 14th 2009, 07:26 PMSampras
Suppose we have .

We know that the second solution will have the form . Now:

Plug these into differential equation. You will get an expression only involving derivatives of . Then make a substitution to get a linear first order differential equation.