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.

Find the local maximum and minimum values and saddle points of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function

$f(x,y)={x}^{3}-6xy+8{y}^{3}$ $\frac{1}{\mathrm{sec}(x)}$ in derivative?

What is the derivative of $\mathrm{ln}(x+1)$?

What is the limit of $e}^{-x$ as $x\to \infty$?

What is the derivative of $f\left(x\right)={5}^{\mathrm{ln}x}$?

What is the derivative of $e}^{-2x$?

How to find $lim\frac{{e}^{t}-1}{t}$ as $t\to 0$ using l'Hospital's Rule?

What is the integral of $\sqrt{9-{x}^{2}}$?

What is the derivative of $f\left(x\right)=\mathrm{ln}\left[{x}^{9}{(x+3)}^{6}{({x}^{2}+7)}^{5}\right]$ ?

What Is the common difference or common ratio of the sequence 2, 5, 8, 11...?

How to find the derivative of $y={e}^{5x}$?

How to evaluate the limit $\frac{\mathrm{sin}\left(5x\right)}{x}$ as x approaches 0?

How to find derivatives of parametric functions?

What is the antiderivative of $-5{e}^{x-1}$?

How to evaluate: indefinite integral $\frac{1+x}{1+{x}^{2}}dx$?