76.3.8 problem 8

Internal problem ID [17379]
Book : Differential equations. An introduction to modern methods and applications. James Brannan, William E. Boyce. Third edition. Wiley 2015
Section : Chapter 2. First order differential equations. Section 2.4 (Differences between linear and nonlinear equations). Problems at page 79
Problem number : 8
Date solved : Tuesday, January 28, 2025 at 10:03:47 AM
CAS classification : [`y=_G(x,y')`]

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

✗ Solution by Maple

dsolve(diff(y(t),t)=(1-t^2-y(t)^2)^(1/2),y(t), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

Time used: 0.000 (sec). Leaf size: 0

DSolve[D[y[t],t]==(1-t^2-y[t]^2)^(1/2),y[t],t,IncludeSingularSolutions -> True]
 

Not solved