Answer to Question #283545 in Differential Equations for Anu

Question #283545

a) Obtain power series solution in powers of 𝑥 for


(𝑥


2 − 1) 𝑦


′′ + 3𝑥 𝑦


′ + 𝑥𝑦 = 0, 𝑦(0) = 4, 𝑦



(0) = 6



b) Find ℒ[𝑒


4𝑡 ∫ (


1−cos 2𝑡


𝑡


)


𝑡




𝑑𝑡] and ℒ


−1


[


4𝑠+5


(𝑠−1)


2(𝑠+2)


]

0
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