13.5.1 problem 4

Internal problem ID [2347]
Book : Differential equations and their applications, 3rd ed., M. Braun
Section : Section 1.10. Page 80
Problem number : 4
Date solved : Monday, January 27, 2025 at 05:49:09 AM
CAS classification : [_Riccati]

\begin{align*} y^{\prime }&=y^{2}+\cos \left (t^{2}\right ) \end{align*}

With initial conditions

\begin{align*} y \left (0\right )&=0 \end{align*}

✗ Solution by Maple

dsolve([diff(y(t),t)= y(t)^2+cos(t^2),y(0) = 0],y(t), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[{D[y[t],t]== y[t]^2+Cos[t^2],{y[0]==0}},y[t],t,IncludeSingularSolutions -> True]
 

Not solved