Give the general solution of the second order ODE dy2/d2x - 4dy/dx + 3 = 0

Solving the ansatz equation x^2 - 4x + 3 = gives 2 equal roots where x = 3 and x = 1The general solution therefore is y = Ae^3x + Be^x where A and B are arbitrary constants

MN

Related Further Mathematics A Level answers

All answers ▸

Use de Moivre’s theorem to show that, (sin(x))^5 = A sin(5x) + Bsin(3x) + Csin(x), where A , B and C are constants to be found.


Prove by induction that the sum of the first n integers can be written as (1/2)(n)(n+1).


Integral of ln x


It is given that z = 3i(7-i)(i+1). Show that z can be written in the form 24i - k. State the integer k.