Could some one check these for me please?
1) dy/dx = (3/x)*y + 5x^2 (x>0)
What is the integrating factor?
Answer = x^3
2) d^2y/dx^2 - 16y =4e^-4x has the complementary function y = ae^4x + be^-4x
What is a suitable particular integral?
Answer = y = ae-4x
Think these are right but not sure. Thanks in advance!!!
N.B read a = alpha and b = beta