4.29 problem 94

Internal problem ID [15001]

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.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_separable]

\[ \boxed {y^{\prime } x^{3}-\sin \left (y\right )=1} \] 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: 0.0 (sec). Leaf size: 0

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

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