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
Answered by Martha N. • Further Mathematics tutor
3564 Views
See similar Further Mathematics A Level tutorsRelated Further Mathematics A Level answers
All answers ▸Particles P and Q move in a plane with constant velocities. At time t = 0 the position vectors of P and Q, relative to a fixed point O in the plane, are (16i - 12j) m and -5i + 4j) m respectively. The velocity of P is (i + 2j) m/s and the velocity of Q
A particle is undergoing circular motion in a horizontal circle, that lies within the smooth surface of a hemispherical bowl of radius 4r. Find the distance OC (explained in diagram) if the angular acceleration of the particle is equal to root (3g/8r).
Find the integral of f(x)= x^3 + 2x^2 + 1
Solve the equation 2(Sinhx)^2 -5Coshx=5, giving your answer in terms of natural logarithm in simplest form