Homework-1-f10_Sol

Homework-1-f10_Sol - AMS 361 Applied Calculus IV Homework 1...

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Unformatted text preview: AMS 361: Applied Calculus IV Homework 1 Assignment Date: Collection Date: Thursday (09/02/2010) Thursday (09/16/2010) 5:35pm Grade: Each problem is worth 10 points. Problem 1-1: Verify by substitution that the given functions are solutions of the given differential equation. Primes denote derivatives with respect to x. Problem 1-2: Verify that y(x) satisfies the given differential equation and then determine a value of the constant so that y(x) satisfies the given initial condition. Since LHS = RHS satisfies the given differential equation Problem 1-3: Find a function y f ( x) satisfying the given differential equation and the prescribed initial condition. Separation of variables Solve for c Problem 1-4: Find the position function x(t) of a moving particle with the given acceleration a(t), initial position x0 x(0) and the initial velocity v0 v(0) . Solve for Solve for Solve for Solve for Problem 1-5: Find the position function x(t) of a moving particle with the given acceleration a(t), initial position x0 x(0) and the initial velocity v0 v(0) . Solve for Solve for Solve for Solve for ...
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This note was uploaded on 01/31/2011 for the course AMS 361 taught by Professor Staff during the Fall '08 term at SUNY Stony Brook.

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