Homework-2-f10_Sol

Homework-2-f10_Sol - AMS 361: Applied Calculus IV (DE...

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Unformatted text preview: AMS 361: Applied Calculus IV (DE & BVP) Homework 2 Assignment Date: Collection Date: Grade: Monday (09/13/2010) Thursday (09/23/2010) Each problem is worth 10 points (Problem 2-1) Find the general solutions (implicit if necessary, explicit if convenient) of the differential equations in the following problem: ( ) ( ) ( ) ( ) Separation of variables ( ∫ ( ) ) ( ∫ ( ) ) Explicit Solution: Implicit Solution: ( ) (Problem 2-2) Find the explicit particular solution of the initial value problem { ( ( ) ) Separation of variables 1 () ∫ || ∫ | () ( )| () Solve for c () () () () (Problem 2-3) Solve the following differential equation. Primes denote derivatives with respect to x. { () ( ) ) Separation of variables ( ∫ || ∫ || Solve for c 2 () (Problem 2-4) Find the general solution of the differential equation. Primes denote derivatives with respect to x. 3 Using () () Solve for ( ) () () ∫() || ∫ Solve for y [()] () ∫ ()() () 3 (Problem 2-5) Find the general solution of the differential equation (regarding x as depending variable and y as independent). Primes denote derivatives with respect to x: ( ) Using ( ( ) ) () () Solve for ( ) () ∫ () () [()] ∫ ()() || () 4 ...
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