Program Description: Purpose of the problem is to show that function y 1 ( x ) = cos x and the function y 2 ( x ) = sin x are two independent solutions for the differential equation y ″ + ( sgn x ) y = 0 that are continuous and satisfies boundary conditions y 1 ( 0 ) = y ′ 2 ( 0 ) = 1 and y ′ 1 ( 0 ) = y 2 ( 0 ) = 0 .

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Chapter 3.3, Problem 50P

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Program Description: Purpose of the problem is to show that function y1(x)=cosx and the function y2(x)=sinx are two independent solutions for the differential equation y″+(sgnx)y=0 that are continuous and satisfies boundary conditions y1(0)=y′2(0)=1 and y′1(0)=y2(0)=0.

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make corrections of this program based on the errors shown. this is CIS 227 .

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