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

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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 1 (34.54 KiB) Viewed 44 times

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)