For the following questions, choose one of the statements and decide if the given statement is true or false, and give a brief justification for your answer. If true, you can quote a relevant definition or theorem from the textbook. If false, provide a counterexample, illustration or brief explanation of why the statement is false. . If p(x) and q(x) are polynomials, then the differential equation y\'\' +p(x)y\'+q(x)y=0 has no singular points. Solution If p(x) and q(x) are polynomials, then the differential equation y\'\' +p(x)y\'+q(x)y=0 has no singular points. The statement is true. Since p(x) and q(x) are polynomials there are continuous for values of x and that is the reason the differential equation has no singular point..