Consider y'+ x 1 y = x 3 . (a) Verify that (x) = x is an
Question:
Consider y'+ x−1y = x3.
(a) Verify that α(x) = x is an integrating factor.
(b) Show that when multiplied by α(x), the differential equation can be written (xy)' = x4.
(c) Conclude that xy is an antiderivative of x4 and use this information to find the general solution.
(d) Find the particular solution satisfying y(1) = 0.
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a The equation is of the form y Pxy Qx for Px x and Qx x By Th...View the full answer
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