6.33 problem 166

Internal problem ID [15059]

Book: A book of problems in ordinary differential equations. M.L. KRASNOV, A.L. KISELYOV, G.I. MARKARENKO. MIR, MOSCOW. 1983
Section: Section 6. Linear equations of the first order. The Bernoulli equation. Exercises page 54
Problem number: 166.
ODE order: 1.
ODE degree: 1.

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

\[ \boxed {y^{\prime }-\tan \left (y\right )-\frac {{\mathrm e}^{x}}{\cos \left (y\right )}=0} \]

✗ Solution by Maple

dsolve(diff(y(x),x)-tan(y(x))=exp(x)/cos(y(x)),y(x), singsol=all)
 

\[ \text {No solution found} \]

✓ Solution by Mathematica

Time used: 11.451 (sec). Leaf size: 14

DSolve[y'[x]-Tan[y[x]]==Exp[x]/Cos[y[x]],y[x],x,IncludeSingularSolutions -> True]
                                                                                    
                                                                                    
 

\[ y(x)\to \arcsin \left (e^x (x+c_1)\right ) \]