Internal problem ID [15067]
Book: A book of problems in ordinary differential equations. M.L. KRASNOV, A.L. KISELYOV,
G.I. MARKARENKO. MIR, MOSCOW. 1983
Section: Section 7, Total differential equations. The integrating factor. Exercises page
61
Problem number: 178.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_exact]
\[ \boxed {3 x^{2} \tan \left (y\right )-\frac {2 y^{3}}{x^{3}}+\left (x^{3} \sec \left (y\right )^{2}+4 y^{3}+\frac {3 y^{2}}{x^{2}}\right ) y^{\prime }=0} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 24
dsolve((3*x^2*tan(y(x))-2*y(x)^3/x^3 )+( x^3*sec(y(x))^2+4*y(x)^3+ 3*y(x)^2/x^2 )*diff(y(x),x)=0,y(x), singsol=all)
\[ x^{3} \tan \left (y \left (x \right )\right )+\frac {y \left (x \right )^{3}}{x^{2}}+y \left (x \right )^{4}+c_{1} = 0 \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[(3*x^2*Tan[y[x]]-2*y[x]^3/x^3 )+( x^3*Sec[y[x]]^2+4*y[x]^3+ 3*y[x]^2/x^2 )*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
Not solved