6.20 problem 20

Internal problem ID [2006]

Book: Differential Equations by Alfred L. Nelson, Karl W. Folley, Max Coral. 3rd ed. DC heath. Boston. 1964
Section: Exercise 10, page 41
Problem number: 20.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_linear]

\[ \boxed {y^{\prime }+y \cot \left (x \right )=\sec \left (x \right )} \] With initial conditions \begin {align*} [y \left (0\right ) = 1] \end {align*}

Solution by Maple

dsolve([diff(y(x),x)+(y(x)*cot(x)-sec(x))=0,y(0) = 1],y(x), singsol=all)
 

\[ \text {No solution found} \]

Solution by Mathematica

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

DSolve[{y'[x]+(y[x]*Cot[x]-Sec[x])==0,{y[0]==1}},y[x],x,IncludeSingularSolutions -> True]
 

Not solved