Internal problem ID [15000]
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: 93.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {x^{2} y^{\prime }+\cos \left (2 y\right )=1} \] With initial conditions \begin {align*} \left [y \left (\infty \right ) = \frac {10 \pi }{3}\right ] \end {align*}
✓ Solution by Maple
Time used: 0.375 (sec). Leaf size: 23
dsolve([x^2*diff(y(x),x)+cos(2*y(x))=1,y(infinity) = 10/3*Pi],y(x), singsol=all)
\[ y = \frac {7 \pi }{2}-\arctan \left (\frac {\sqrt {3}\, x +6}{3 x}\right ) \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[{x^2*y'[x]+Cos[2*y[x]]==1,{y[Infinity]==10/3*Pi}},y[x],x,IncludeSingularSolutions -> True]
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