Find the eigenvalues and eigenfunctions. Verify orthogonality. Start by writing the ODE in the form (1), using
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Find the eigenvalues and eigenfunctions. Verify orthogonality. Start by writing the ODE in the form (1), using Prob. 6. Show details of your work.
y" + λy = 0, y(0) = 0, y(10) = 0
Data from Prob. 6
Show that y" + fy' + (g + λh) y = 0 takes the form (1) if you set p = exp (∫f dx), q = pg, r = hp. Why would you do such a transformation?
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The equation can be written in the form y y 0 y0 0 y10 0 where fx 1 and p q 1 We multiply by 1 to g...View the full answer
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