14.4.18 problem 18

Internal problem ID [2536]
Book : Differential equations and their applications, 4th ed., M. Braun
Section : Chapter 1. First order differential equations. Section 1.10. Existence-uniqueness theorem. Excercises page 80
Problem number : 18
Date solved : Monday, January 27, 2025 at 05:59:30 AM
CAS classification : [_separable]

\begin{align*} y^{\prime }&=t y^{a} \end{align*}

With initial conditions

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

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 5

dsolve([diff(y(t),t)=t*y(t)^a,y(0) = 0],y(t), singsol=all)
 

\[ y = 0 \]

✗ Solution by Mathematica

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

DSolve[{D[y[t],t]==t*y[t]^a,{y[0]==0}},y[t],t,IncludeSingularSolutions -> True]
 

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