DIFF EQ & TRANSFMS
DIFF EQ & TRANSFMS MATH 267
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This 2 page Class Notes was uploaded by Ms. Helen Sipes on Sunday September 27, 2015. The Class Notes belongs to MATH 267 at Iowa State University taught by Staff in Fall. Since its upload, it has received 25 views. For similar materials see /class/214502/math-267-iowa-state-university in Mathematics (M) at Iowa State University.
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Date Created: 09/27/15
MATH 267 FALL 2004 REVIEW PROBLEMS l a Find the general solution of y yy 2 b Find all equilibrium solutions and determine Whether they are stable or unstable 2 Solve the initial value problem y 2y 15y0 210 yO9 3 Show that the equation 2mey 6 0 mgey 2yy 0 is exact Find the solution satisfying yl 0 4 Find the general solution of y 4y 832 26739 5 Find a fundamental set for the Euler equation 231 2363 23 0 Use this fundamental set and the variation of parameters method to nd a particular solution of 231 2363 23 3600 Remember to rewrite the equation so that the coef cient of y is l 6 Find the general solution of the Bernoulli equation Z 6 2 21 2 Hint substitute 1 32 7 Find the general solution of y y ac a l 8 A spherical raindrop evaporates at a rate proportional to its surface area Write a differential equation for the volume of the raindrop as a function of time7 and nd the general solution of this equation Hint you will need to express the volume as a function of the surface area 2 t 0 lt t lt 2 9 L t t 6 l 0 t gt 2 a Find the Laplace transform Fs b Solve for t by the Laplace transform method if at 93 ft 300 1 330 6 10 Census Bureau estimates of the United States population are 2487 million for April 17 1990 and 2814 million for April 17 2000 Assuming that the rate of population growth is proportional to popu lation present7 estimate the United States population on April 17 2005 to the nearest million
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