Free Euler's method Practice Problems • Learn To Be

\displaystyle\frac{dy}{dx}=x+3y

and

y(2)=3

Use Euler’s method with a step-size of $1$ to approximate $y(5)$ , by filling the table.

$n$	$x_n$	$y_n$
$0$	$2$	$3$
$1$	$3$	Your answer should be an integer, like $6$ an exact decimal, like $0.75$ a simplified proper fraction, like $3/5$ a simplified improper fraction, like $7/4$ a mixed number, like $1\ 3/4$
$2$	Your answer should be an integer, like $6$ an exact decimal, like $0.75$ a simplified proper fraction, like $3/5$ a simplified improper fraction, like $7/4$ a mixed number, like $1\ 3/4$	Your answer should be an integer, like $6$ an exact decimal, like $0.75$ a simplified proper fraction, like $3/5$ a simplified improper fraction, like $7/4$ a mixed number, like $1\ 3/4$
$3$	Your answer should be an integer, like $6$ an exact decimal, like $0.75$ a simplified proper fraction, like $3/5$ a simplified improper fraction, like $7/4$ a mixed number, like $1\ 3/4$	Your answer should be an integer, like $6$ an exact decimal, like $0.75$ a simplified proper fraction, like $3/5$ a simplified improper fraction, like $7/4$ a mixed number, like $1\ 3/4$

Euler's method