Internal problem ID [12384]
Book: Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section: Chapter 2. The Initial Value Problem. Exercises 2.4.4, page 115
Problem number: 4 (b).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime }-\frac {y}{-x^{2}+1}=\sqrt {x}} \] With initial conditions \begin {align*} [y \left (1\right ) = 1] \end {align*}
✗ Solution by Maple
dsolve([diff(y(x),x)=y(x)/(1-x^2)+sqrt(x),y(1) = 1],y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[{y'[x]==y[x]/(1-x^2)+Sqrt[x],{y[1]==1}},y[x],x,IncludeSingularSolutions -> True]
Not solved