cameroon gce advance level June 2021 further mathematics paper 2

cameroon gce advance level June 2021 further mathematics paper 2

cameroon gce advance level June 2021 further mathematics paper 2

Use the substitution y = vx , where v is a function of x , to transform the differential equation
x*$L = x+ xy + yl
dx
into a differential equation in v and x .
Hence find the solution of this differential equation
given that y lwhen x = 1 .
(3 marks)
(5 marks
)
2. Solve for real x , the equation
3
cosh2x = 3 4sink 2;c . (6 marks)
/
3. Given that = f x [ l x )(lx ,
where n is a positive integer,
show that
( 71 + 2) / i = nl.11 , 71 > 1 . (5 marks)
Hence, evaluate I .x ( l xj dx . (3 marks

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