Khaleesi Herbert

2021-05-19

Solve the higher order derivatives:

y''-6y+9y=0, y(0)=2, y'(0)=0

y''-6y+9y=0, y(0)=2, y'(0)=0

tabuordg

Skilled2021-05-20Added 99 answers

Consider the given equation.

y-6y+9y=0

Make the characteristics equation.

${r}^{2}-6r+9=0$

${r}^{2}-3r-3r+9=0$

r(r−3)−3(r−3)=0

${(r-3)}^{2}=0$

r=3

Put the values in the equation.

$y={c}_{1}{e}^{3x}+{c}_{2}x{e}^{3x}$

y-6y+9y=0

Make the characteristics equation.

r(r−3)−3(r−3)=0

r=3

Put the values in the equation.