7.16 problem 16

Internal problem ID [2026]

Book: Differential Equations by Alfred L. Nelson, Karl W. Folley, Max Coral. 3rd ed. DC heath. Boston. 1964
Section: Exercise 11, page 45
Problem number: 16.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [`y=_G(x,y')`]

\[ \boxed {\left (x \tan \left (y\right )^{2}-x \right ) y^{\prime }-\tan \left (y\right )=2 x^{2}} \]

Solution by Maple

dsolve((x*tan(y(x))^2-x)*diff(y(x),x)=(2*x^2+tan(y(x))),y(x), singsol=all)
 

\[ \text {No solution found} \]

Solution by Mathematica

Time used: 0.0 (sec). Leaf size: 0

DSolve[(x*Tan[y[x]]^2-x)*y'[x]==(2*x^2+Tan[y[x]]),y[x],x,IncludeSingularSolutions -> True]
 

Not solved