Question

Solve the following differential equations, with the initial values given. By Euler's method. y'=y/x , y(1)=1, [1,4] (h=0,5). y'=1/2 xy , y(0)=1, [0,1] (h=0,1). y'=x^2+y^2 , y(0)=0, [0,1] (h=0,1). y'=1+xy^2 , y(0)=0, [0,1] (h=0,1). y'=y/(x+1)-y^2 , y(0)=1, [0,1] (h=0,1).