60.1.82 problem 82

Internal problem ID [10096]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 1, linear first order
Problem number : 82
Date solved : Monday, January 27, 2025 at 06:27:15 PM
CAS classification : [`y=_G(x,y')`]

\begin{align*} y^{\prime }-a \left (1+\tan \left (y\right )^{2}\right )+\tan \left (y\right ) \tan \left (x \right )&=0 \end{align*}

✗ Solution by Maple

dsolve(diff(y(x),x) - a*(1+tan(y(x))^2) + tan(y(x))*tan(x)=0,y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

Time used: 0.000 (sec). Leaf size: 0

DSolve[D[y[x],x]- a*(1+Tan[y[x]]^2) + Tan[y[x]]*Tan[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved