CONFIDENTIAL Q3 (b) (i) (b) (1) (ii) (1) (ii) Examine the general solution of 12- d²y dx² (1) Use the result from Q2 (b)

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Confidential Q3 B I B 1 Ii 1 Ii Examine The General Solution Of 12 D Y Dx 1 Use The Result From Q2 B 1 (56.91 KiB) Viewed 33 times

CONFIDENTIAL Q3 (b) (i) (b) (1) (ii) (1) (ii) Examine the general solution of 12- d²y dx² (1) Use the result from Q2 (b) (i) to solve y(0)=2, y(0)=3. (8 marks) (c) Solve the non-homogeneous equation by using the method variation of parameters 3+ 4y +4y=e**. (ii) BNJ12303 BNQ10603/ ENP12303/BNT 12303/BNR17903 Determine the Laplace transform of the following functions. f(t)=tsint cost f(1) = ² (sin! + cost) F(s)= Determine the inverse I aplace transform for the following expressions. 3+5 s² +68+9 F(s) = S -9 Using the convolution theorem, show that 1 26* given that (5² +6²) ² Hence, solve the differential equation y and d²y dt dx --3y=0. dx dx² --4y=toos 21. -5 dy de 3 (sin bt - bt cos br). --3y=e* if given are both zero when t = 0. (3 marks) (8 marks) (3 marks) (3 marks) (3 marks) (3 marks) (7 marks) (6 marks) CONFIDENTIAL