Q2 (a) For each of the equation, determine whether it is linear or not? If not, give the reason. If yes, show that the e
Posted: Mon Jul 11, 2022 12:45 pm
Q2 (a) For each of the equation, determine whether it is linear or not? If not, give the reason. If yes, show that the equation is homogeneous and state its coefficient form. (i) (c) (ii) d²y dx² dy +5 +10y=0 dx CONFIDENTIAL --3y=3x² dx dy d'y (iii) x² +2x+y=0. dx² 2 BNJ12303/BNQ10603/ BNP12303/BNT12303/BNR17903 (b) (i) Examine the general solution of 12 --5- -3y=0. d²y dy dx² dx (ii) Use the result from Q2 (b) (i) to solve 12d²y y(0)=2, y'(0) = 3. (2 marks) dy dx² dx (2 marks) CONFIDENTIAL (2 marks) (3 marks) -3y=e* if given (8 marks) Solve the non-homogeneous equation by using the method variation of parameters +4y' +4y=e. (8 marks)