[solution of ordinary differential equation and drawing solution of small boat walking track]

Find an analytical solution dsolve

The path of the boat

syms y(x)
Dy=diff(y,1);
v0=1;
a=3;
l=6;
%x=0:0.01:l;
y=dsolve(Dy==v0*x*(l-x)/(a*(l/2)^2),y(0)==0)
x=0:0.01:l;
y=eval(y);
plot(x,y)
xlabel(' Distance between two banks x');
ylabel(' In the vertical direction ')
title(' The path of the boat ')

The solution obtained by computer software

This analytical solution was worked out last night , Today, I bring in my own assignment to him , The analytical results are exactly the same .

The path of the boat