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Unformatted text preview: Using Euler's method with step size h = .1, approximate x(.2) if d2x dX ,++x=t X ( O ) =3 xfO ) =2 dt2 dt ' , \ . Name: 6. Match the following differential equationswith the graphs of one of their solutions. (a) x"+36x = 5cos(6t) (b) x"+36x=30cos(5t) (c) x"+.55x'+36x = 30cos(5t) xmax 7 xmln [7 xmax 7 xmln ~7 xmax 7 xmin te=J ~ Imln 18.84 Imax L... Imin 18.84 Ltmax fa I Imin 18.84 Imax Equation Equation Equation Name: 7. A mass is attached to an undamped spring, causing it to stretch 8cm. The mass is then pulled down an additional distance and released. How long will it take the mass to return to the point at which it was released? Use g = 981cm/sec2.Yes, you do have enough information to solve this problem. Name: 8. Find a differential equation whose general solution is y = ex + cteXsin(2x) + c2ex cos(2x). Name:...
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This note was uploaded on 04/07/2008 for the course MATH 240 taught by Professor Yetter during the Fall '07 term at Kansas State University.
 Fall '07
 Yetter
 Math, Differential Equations, Equations

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