The given equation is a separable equation of the form f(x,p)=g(y,q).
The complete solution will be, z=∫pdx+∫qdy+c
Let f(x,p)=g(y,q)=a. Solving for f(x,p)=a & g(y,q)=a, we get
p−3x2pp=a=3x2+a=3x2+a;;; q2−y=a q2=y+a q=y+a
The complete solution is,
zz=∫pdx+∫qdy+c=∫(3x2+a)dx+∫(y+a)dy+c=x3+ax+32(y+a)23+c
Comments
Leave a comment