Internal problem ID [1982]
Book: Differential Equations by Alfred L. Nelson, Karl W. Folley, Max Coral. 3rd ed. DC heath.
Boston. 1964
Section: Exercise 9, page 38
Problem number: 21.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y \left (x^{2}-1\right )+x \left (x^{2}+1\right ) y^{\prime }=0} \] With initial conditions \begin {align*} [y \left (1\right ) = 2] \end {align*}
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 14
dsolve([y(x)*(x^2-1)+x*(x^2+1)*diff(y(x),x)=0,y(1) = 2],y(x), singsol=all)
\[ y \left (x \right ) = \frac {4 x}{x^{2}+1} \]
✓ Solution by Mathematica
Time used: 0.042 (sec). Leaf size: 15
DSolve[{y[x]*(x^2-1)+x*(x^2+1)*y'[x]==0,{y[1]==2}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {4 x}{x^2+1} \]