71.3.22 problem 17

Internal problem ID [14372]
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
Date solved : Tuesday, January 28, 2025 at 06:28:03 AM
CAS classification : [`y=_G(x,y')`]

\begin{align*} y^{\prime }&=\frac {1}{\sqrt {15-x^{2}-y^{2}}} \end{align*}

✗ 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: 0.000 (sec). Leaf size: 0

DSolve[D[y[x],x]==1/Sqrt[15-x^2-y[x]^2],y[x],x,IncludeSingularSolutions -> True]
 

Not solved