2. (a) By using the method of variation parameters, solve d²y dy 4- + 4y dx² dx = e²x + ·+x=0, x(0) = (10 marks) (b) The

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2 A By Using The Method Of Variation Parameters Solve D Y Dy 4 4y Dx Dx E X X 0 X 0 10 Marks B The 1 (58.18 KiB) Viewed 37 times

2. (a) By using the method of variation parameters, solve d²y dy 4- + 4y dx² dx = e²x + ·+x=0, x(0) = (10 marks) (b) The vertical motion of a weight attached to a spring is described by the initial value problem X 1 ď²x dx 4 dt² dt i. solve the given differential equation. dx ii. find the value of t when - = = 0. dt iii. by using the result in 2(b) (i), determine the maximum vertical displacement. (10 marks) = = 4, dx -(t = 0) = 2 dt