Internal problem ID [12636]
Book: Ordinary Differential Equations by Charles E. Roberts, Jr. CRC Press. 2010
Section: Chapter 2. The Initial Value Problem. Exercises 2.1, page 40
Problem number: 17.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [`y=_G(x,y')`]
\[ \boxed {y^{\prime }-\frac {1}{\sqrt {15-x^{2}-y^{2}}}=0} \]
✗ Solution by Maple
dsolve(diff(y(x),x)=1/sqrt(15-x^2-y(x)^2),y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[y'[x]==1/Sqrt[15-x^2-y[x]^2],y[x],x,IncludeSingularSolutions -> True]
Not solved