50.3.25 problem 7

Internal problem ID [7849]
Book : Differential Equations: Theory, Technique, and Practice by George Simmons, Steven Krantz. McGraw-Hill NY. 2007. 1st Edition.
Section : Chapter 1. What is a differential equation. Section 1.4 First Order Linear Equations. Page 15
Problem number : 7
Date solved : Sunday, March 30, 2025 at 12:29:48 PM
CAS classification : [_linear]

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

✓ Maple. Time used: 0.001 (sec). Leaf size: 13

ode:=diff(y(x),x)*sin(2*x) = 2*y(x)+2*cos(x); 
dsolve(ode,y(x), singsol=all);
 

\[ y = c_1 \tan \left (x \right )-\sec \left (x \right ) \]

✓ Mathematica. Time used: 0.037 (sec). Leaf size: 15

ode=D[y[x],x]*Sin[2*x]==2*y[x]+2*Cos[x]; 
ic={}; 
DSolve[{ode,ic},y[x],x,IncludeSingularSolutions->True]
 

\[ y(x)\to \sec (x) (-1+c_1 \sin (x)) \]

✗ Sympy

from sympy import * 
x = symbols("x") 
y = Function("y") 
ode = Eq(-2*y(x) + sin(2*x)*Derivative(y(x), x) - 2*cos(x),0) 
ics = {} 
dsolve(ode,func=y(x),ics=ics)
 

Timed Out