Select the correct statement(s) from below. The characteristic equation of an n-

Question

Select the correct statement(s) from below. The characteristic equation of an n-th order linear homogeneous constant coefficient defferential equation with 'y' and 'x' as dependent and independent variables respectively - 1. is obtained by substituting y = e^GammaX into the differential equation. 2. gives the eigenvalues of the linear polynomial differential operator. 3. can have only real squareroots if the coefficients are all real. A. Statements (1) and (2) alone are true B. Statements (1) and (3) alone are true C. Statements (2) and (3) alone are true D. Statement (1) alone is true E. Statement (2) alone is true F. Statement (3) alone is true G. All the statements are true H. None of the statements is true

Explanation / Answer

In this first and second statements are true but third is false because for all real values we can have complex roots

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