MA2132 - HW02

MA2132 - HW02 - Willis Thai MA2132 Worksheet 2 1) Construct...

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Unformatted text preview: Willis Thai MA2132 Worksheet 2 1) Construct a slope field for the differential equation y x y + = for 5 5 x , 5 5 y . Sketch the solution curve corresponding to the initial condition ) ( = y , then find ) 4 ( y for this solution. -5 -4 -3 -2 -1 0 1 2 3 4 5 -5 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 -4 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 -3 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 -2 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 -1 -6 -5 -4 -3 -2 -1 0 1 2 3 4 0 -5 -4 -3 -2 -1 0 1 2 3 4 5 1 -4 -3 -2 -1 0 1 2 3 4 5 6 2 -3 -2 -1 0 1 2 3 4 5 6 7 3 -2 -1 0 1 2 3 4 5 6 7 8 4 -1 0 1 2 3 4 5 6 7 8 9 5 0 1 2 3 4 5 6 7 8 9 10 3 ) 4 ( = y 2) Find the general solutions of the differential equations given below. a) 3 4 3 6 xy y y x = + x x P v x dx dv y x dx dy y y y x dx dy dx dy y dx dv y y v n y y x y n 2 ) ( 1 2 1 2 3 1 3 6 3 1 3 6 3 1 3 4 3 4 3 4 3 1 3 4 1 3 4 = = = + = + = = = = = + ( ) 3 2 2 2 1 2 2 2 2 2 2 3 2 2 ln 2 1 ) ( ) ( 2 ) ( 3 1 Cx x y Cx x...
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This note was uploaded on 05/18/2008 for the course MA 2132 taught by Professor King during the Spring '07 term at NYU Poly.

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MA2132 - HW02 - Willis Thai MA2132 Worksheet 2 1) Construct...

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