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 : Sunday, March 30, 2025 at 11:26:32 AM
CAS classification : [`y=_G(x,y')`]

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

✗ Maple

ode:=sin(diff(x(y),y))+y^3*x(y) = sin(y); 
dsolve(ode,x(y), singsol=all);
 

\[ \text {No solution found} \]

✗ Mathematica

ode=Sin[D[x[y],y]]+y^3*x[y]==Sin[y]; 
ic={}; 
DSolve[{ode,ic},x[y],y,IncludeSingularSolutions->True]
 

Not solved

✗ Sympy

from sympy import * 
y = symbols("y") 
x = Function("x") 
ode = Eq(y**3*x(y) - sin(y) + sin(Derivative(x(y), y)),0) 
ics = {} 
dsolve(ode,func=x(y),ics=ics)
 

Timed Out