- #1
karush
Gold Member
MHB
- 3,269
- 5
$\tiny{9.1.14}$
$\textsf{Use Euler's method to calculate
the first 3 approximations to the given initial value problem for the specified increment size.}\\$
$\textsf{ Calculate the exact solution.}$
$y'=y^2(5+5x), y(1)=-1, dx=0.2$
$y_1=$
$y_1=0.4$
$y_2=0.6268$
$y_3=1.2694$
$y(exact)=-\frac{1}{x^2+5x-5}$
$\textsf{the given answers are book answers but i couldn't derive them}$
$\textsf{Use Euler's method to calculate
the first 3 approximations to the given initial value problem for the specified increment size.}\\$
$\textsf{ Calculate the exact solution.}$
$y'=y^2(5+5x), y(1)=-1, dx=0.2$
$y_1=$
$y_1=0.4$
$y_2=0.6268$
$y_3=1.2694$
$y(exact)=-\frac{1}{x^2+5x-5}$
$\textsf{the given answers are book answers but i couldn't derive them}$