2901.sagews

def f(t,y):
    return 3*cos(t)-2*y   
 
y=[0.0]          
t=[0.0]          
a=t[0]; b=0.4    
h=0.1            
m=(b-a)/h        

for i in range(0,m):
    x=y[i]+ f(t[i],y[i])*h
    s=t[i]+ h
    y.append(x)
    t.append(s)

for i in range(0,m+1):
    print y[i]

0.000000000000000 0.300000000000000 0.538501249583408 0.724820973019099 0.866457725152961

def f(t,y):
    return 3*cos(t)-2*y   
 
y=[0.0]          
t=[0.0]          
a=t[0]; b=0.4    
h=0.05            
m=(b-a)/h        

for i in range(0,m):
    x=y[i]+ f(t[i],y[i])*h
    s=t[i]+ h
    y.append(x)
    t.append(s)

for i in range(0,m+1):
    if i%2==0:
        print y[i]

0.000000000000000 0.284812539059245 0.513339380640928 0.693450749584316 0.831571440122360

def f(t,y):
    return 3*cos(t)-2*y   
 
y=[0.0]          
t=[0.0]          
a=t[0]; b=0.4    
h=0.025            
m=(b-a)/h        

for i in range(0,m):
    x=y[i]+ f(t[i],y[i])*h
    s=t[i]+ h
    y.append(x)
    t.append(s)

for i in range(0,m+1):
    if i%4==0:
        print y[i]

0.000000000000000 0.277919591169469 0.501812930541769 0.678949387911564 0.815302127542951