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(A) 2xdy, (B) 2x + y = 0, = y, dy, xp,, dy, (D) *, (C), = y, = 2y, 08. The Characteristic polynomial of equation y -4y = 0 is, (A) p(r) = r² + 4, (B) p(r) = r? + 2, %3D, (C) p(r) = r -4, (D) p(r) = r-2, 09. The roots of the equation z+z-6 = 0 are, (A) (-2,3), (B)(2,3), (C) (1,5), (D) (5,-1), 10. Every polynomial of degree 3 with real coefficient has at least., (A) Two real roots, (B) One real roots, (C) Three real roots, (D) None, 11. Which of the following is true?, * 21, (A) ee, = cose + isine, (B) cose = 1-, (C) sine = 0-, 3!, (D) All of above, 5!, 12. The function Ø is called solution of y = f(x,y) where if y E Sif, (A) Ø(x)is in S, (B) Ø(x) = f(x,Ø(x)), (C) both (A) and (B), (D) None, 13. The equation y'+a(x)y=Db(x) where b(x)=D0 on I is called, (A) Homogeneous first order differential equation, (B) Non-homogeneous first order differential equation, (C) Homogeneous second order differential equation, (D) Non- homogeneous second order differential equation, 14. Consider equation y"+y'-6y=0 then the function p(r)=r?+r-6 is called, (A) Legendre's equation, (B) Bernoullis equation, W, Edit with WPS Office