44.1.9 problem 10

Internal problem ID [6884]
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. Exercises 1.1 at page 12
Problem number : 10
Date solved : Monday, January 27, 2025 at 02:33:31 PM
CAS classification : [`y=_G(x,y')`]

\begin{align*} \sin \left (x^{\prime }\right )+y^{3} x&=\sin \left (y \right ) \end{align*}

Solution by Maple

dsolve(sin(diff(x(y),y))+y^3*x(y)=sin(y),x(y), singsol=all)
 
\[ \text {No solution found} \]

Solution by Mathematica

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

DSolve[Sin[D[x[y],y]]+y^3*x[y]==Sin[y],x[y],y,IncludeSingularSolutions -> True]
 

Not solved