44.3.14 problem 22

Internal problem ID [6995]
Book : A First Course in Differential Equations with Modeling Applications by Dennis G. Zill. 12 ed. Metric version. 2024. Cengage learning.
Section : Chapter 1. Introduction to differential equations. Review problems at page 34
Problem number : 22
Date solved : Monday, January 27, 2025 at 02:40:12 PM
CAS classification : [_Chini]

\begin{align*} y^{\prime }&=6 \sqrt {y}+5 x^{3} \end{align*}

With initial conditions

\begin{align*} y \left (-1\right )&=4 \end{align*}

✗ Solution by Maple

dsolve([diff(y(x),x)=6*sqrt(y(x))+5*x^3,y(-1) = 4],y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[{D[y[x],x]==6*Sqrt[y[x]]+5*x^3,{y[-1]==4}},y[x],x,IncludeSingularSolutions -> True]
 

Not solved