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Differential Equations: The D-operator Method
Note: A useful DE to know: dy/ dx = ky gives y = Aekx
Exercise 1
Consider the DE
(d2y / dx2) - (dy / dx) - 30y = 0
(a) Write the DE using D-operator notation
(b) Solve the DE for y by solving two first-order DEs
Exercise 2
(d2y / dx2) - 10 (dy / dx) + 25y = 0
Exercise 3
(d2y / dx2) - 3 (dy / dx) = 0
(b) Solve the DE for y by solving two first-order DEs.
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