4.4 notes - Chapter 4. Higher-Order Dierential Equations...

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Chapter 4. Higher-Order Diferential Equations § 4.4 Undetermined Coefficients–Superposition Approach We study linear nonhomogeneous DEs in the form of a n d y dx + 1 ··· dy 0 = g ( x ) where ,a , are constants. The general solution of the DE is c p is the general solution of the corresponding homogeneous DE. EX: Find a particular solution and then the general solution. (1) °° 2 ° 3 +1 (2) = 2 sin Trial Particular Solutions cA 5 +7 Ax B Bx C sin 2 (cos 2 A cos 2 e Ae 6 xe Be cos sin +( Cx D +5
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