- 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 (24.21 KiB) Viewed 35 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. d² y dy dx² dx (ii) y +55 +10y = 0 d²y dx² (iii) x² d²y dx² dy dx --3y = 3x² dy +2x+y=0 dx (2 marks) (2 marks) (2 marks)
(b) (i) (ii) Examine the general solution of 12 d²y dx² dy 5 - 3y = 0. dx Use the result from Q2 (b) (i) to solve 12d²y-5dy dx² y(0)=2, y'(0) = 3. dx (3 marks) - 3y=e* if given (8 marks) Solve the non-homogeneous equation by using the method variation of parameters y" +4y' +4y=e*. (8 marks)