find the general solution of the following equations.
a. 2y′′−3y′=0
b. y′′+6y′+9y=0
c. y′′+8y′+25y=0
d. y(4)−8y′′+16y=0
e. 9y′′′+12y′′+4y′=0
f. y(3)+y′′−y′−y=0

1.   an exact solution requires a radical solution - no decimal approximation.2. (a)4x^3 = 756x^3 = 756/4 = 189x =   cube root of 189 =   5.74   to nearest hundredth answer(b)   189 = 3*3*3*7   so we can write the cube root of 189 as 3∛7 answerchecking (a) 4*(5.74^3 =   756.48   which is very close(b)   4* ((3∛3)^3   = 4*189   = 756   - spot on! 3. i would use solution b because the original question asked for an exact solution.