Unformatted text preview: between the object and the constant room temperature.) 3) Find the general solution of the diﬀerential equation ey dy dt + 2 cos t = 0 . a) Sketch the solutions corresponding to several values of the constant of integration, C . Does every value of the constant of integration correspond to a solution curve? If not, which C ’s do occur? b) Do all the solutions have the same domain? Explain. c) Sketch the slope ﬁeld associated with this equation. Why is it not a good idea to use isoclines? Instead, sketch the slope at several points along the line t=0, and then at the corresponding points along the lines t = π/ 6, π/ 3, π/ 2, etc. Finally, superimpose your sketch of the solution curves onto the slope ﬁeld....
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 Fall '08
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 Calculus, Equations, Constant of integration, dy, constant room temperature

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