Given the differential equation y' = f (at + by + c), it can be shown that

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Given the differential equation y' = f (at + by + c), it can be shown that the substitution u = at + by + c, where a, b, and c are constants, will transform the differential equation into the separable equation u' = a + bf(u). Use this substitution to solve the DEs in Problems.
a. y' = (y+t)2
b. y' = et+y-1 -1
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Differential Equations and Linear Algebra

ISBN: 978-0131860612

2nd edition

Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West

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