The indicated functions are known linearly independent solutions of the associated homogeneous differential equation on (0, [infinity]). Find the general solution of the given nonhomogeneous equation. x2y'' + xy' + y = sec(ln(x)); y1 = cos(ln(x)), y2 = sin(ln(x))

A) if $50000 is invested in a bank account that pays 9.3% of interest compounded on a six-monthly basis, how much money will be in the account after 3 and 12 years? b) if matusalen's father had put $2.0 in the bank when he was born and there, how long would matusalen have had to his death (969 years later) if the interest was 7% per year composed each month and weekly?

Simplify. −4x^2 (5x^4−3x^2+x−2) −20x^6−12x^4+8x^3−8x^2 −20x^6+12x^4−4x^3+8x^2 −20x^8+12x^4−4x^2+8x −20x^6+12x^4+4x^3−8x^2

Table which ratio is equivalent to 3: 7? 6: 7 3: 21 24: 56 15: 30