Internal problem ID [14999]
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: 92.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {x^{2} y^{\prime } \cos \left (y\right )=-1} \] With initial conditions \begin {align*} \left [y \left (\infty \right ) = \frac {16 \pi }{3}\right ] \end {align*}
✓ Solution by Maple
Time used: 0.172 (sec). Leaf size: 21
dsolve([x^2*diff(y(x),x)*cos(y(x))+1=0,y(infinity) = 16/3*Pi],y(x), singsol=all)
\[ y = \arcsin \left (\frac {\sqrt {3}\, x -2}{2 x}\right )+5 \pi \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[{x^2*y'[x]*Cos[y[x]]+1==0,{y[Infinity]==16/3*Pi}},y[x],x,IncludeSingularSolutions -> True]
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