Question

1) Find y as a function of t if 9y′′+24y′+32y=0,

y(0)=5,y′(0)=8. y(t)=

2) Find y as a function of x if y′′′+16y′=0,

y(0)=−5,  y′(0)=−32,  y′′(0)=−32. y(x)=

3) Find y as a function of t if 9y′′−12y′+40y=0,

y(1)=5,y′(1)=9. y=

Answer 1