hi . i want to solve couple differential  equation with ode analyzer  but i get error

i want to plot y[1] and y[2]. 
for example for this two equation 
diff(y[1](x), x$2)+3*(diff(y[1](x), x$1))+2*y[1](x)+2*y[2](x) = 3, diff(y[2](x), x$2)+diff(y[2](x), x$1)+2*y[2](x)+2*y[1](x) = 8;

how can i solve this equation with Two unknown terms

hi . i want to solve this pde. but don't get a solution

restart;
pde := diff(c(x, t), t) = d*(diff(c(x, t), x$2));
ibs := c(0, t) = (c[1]+c[2])*(1/2), c(-infinity, t) = c[1], c(infinity, t) = c[2];
pdsolve([pde, ibs]);
 

hi . i want to solve a equation with newton method but i cant, 

restart;
f(x):=x^2-3;
df(x):=diff(f(x),x);
x:=1;
for i from 2 to 5 by 1 do
    x:=x-(f(x)/df(x));
    print(x);
    end do

hi

i want to solve a example in this picture but i get error. 

thanks

1.mw

example