75.4.29 problem 94

Internal problem ID [16731]
Book : A book of problems in ordinary differential equations. M.L. KRASNOV, A.L. KISELYOV, G.I. MARKARENKO. MIR, MOSCOW. 1983
Section : Section 4. Equations with variables separable and equations reducible to them. Exercises page 38
Problem number : 94
Date solved : Tuesday, January 28, 2025 at 09:19:49 AM
CAS classification : [_separable]

\begin{align*} x^{3} y^{\prime }-\sin \left (y\right )&=1 \end{align*}

With initial conditions

\begin{align*} y \left (\infty \right )&=5 \pi \end{align*}

✗ Solution by Maple

dsolve([x^3*diff(y(x),x)-sin(y(x))=1,y(infinity) = 5*Pi],y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[{x^3*D[y[x],x]-Sin[y[x]]==1,{y[Infinity]==5*Pi}},y[x],x,IncludeSingularSolutions -> True]
 

{}