Unformatted text preview: 2 1.2 0.21668 3 1.3 0.33382 4 1.4 0.45300 5 1.5 0.57135 9. In this initial value problem, f ( x, y ) = x + 3 cos( xy ), x = 0, and y = 0. To approximate the solution on [0 , 2] with a step size h = 0 . 2, we need N = 10 steps. The functions F and G in the improved Euler’s method subroutine are F = f ( x, y ) = x + 3 cos( xy ); G = f ( x + h, y + hF ) = x + h + 3 cos[( x + h )( y + hF )] = x + 0 . 2 + 3 cos[( x + 0 . 2)( y + 0 . 2 { x + 3 cos( xy ) } )] . 143...
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This note was uploaded on 03/29/2010 for the course MATH 54257 taught by Professor Hald,oh during the Spring '10 term at Berkeley.
 Spring '10
 Hald,OH
 Math, Differential Equations, Linear Algebra, Algebra, Equations

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