2. Find a particular solution to each of these ODES by using the method of variation of parameters: (a) y" +y = tan x . (b) y" y = sinh 2x . - (c) y" – 2y' + y = e"/(1+ e"). || - (d) y" – 2y' + y = x² . (e) 2y" + 2y' + y = e-* .

B Find the derivative Y= tanx(2X+1)°.5 of y if

a) Find the derivative of the following functions: i) f(x) = x In x ii) f(x) = %3D ii) f(x) = 1'4* iv) f(x) = log, x 5 b) Find the derivative of each the following Trigonometric Functions. cos x-1 (1) f (x) =. X 3 (iї)f (x) — 4sinп3х + 4cos3x

2. Find the derivative. a. y = sin x³ b. y = sin³ x C. y = cos(4x+9) Copyright ©2021 The Ontario Educational Communications Authority. All rights reserved. d. y = cos² (x²+3) e. y = x² sin(x² +5) f. y=5e* g. y=e5x h. y=xe3x+ i. y = ln(x+3) j. y=5ln(x²+4) k. y=5* 1. y=(x²+2)² (x²+2x+1)' m. y=ln(sin x) n. y=(x+lnx)