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# hw4 - y(0 = 2 The following problems are only recommended...

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MATH 138: Calculus 2 Assignment #4 Due: 12:30 p.m., Friday, October 15 Fall 2010 1. Find all the equilibrium solutions to the differential equation y 0 = x sin y . 2. Solve the differential equations (a) ( x 2 + 1) y 0 = xy . (b) y 0 + 2 y = 2 e x . (c) y 0 = x + 5 y . (d) sin x dy dx + (cos x ) y = x sin( x 2 ), x 6 = 0. 3. Solve the initial value problems (a) dy dx = x y , y (0) = - 3. (b) dP dt = Pt , P (1) = 2. (c) xy 0 + y = y 2 , y (1) = - 1. (d) t dy dt + 2 y = t 3 , t > 0, y (1) = 0. (e) ( x 2 + 1) dy dx + 3 x ( y - 1) = 0,
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Unformatted text preview: y (0) = 2. The following problems are only recommended, not for submission. • Course Notes: All examples in Sections 2.1–2.4. • Stewart: Section 9.3 Exercises 5, 9, 13, 38; Section 9.5 Exercises 1, 3, 9, 15, 23, 24; Examples 1–4 in Section 9.3 and Examples 1–5 in Section 9.5; Read Section 9.1....
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