5.17 problem 3(e)

Internal problem ID [11415]

Book: A First Course in Differential Equations by J. David Logan. Third Edition. Springer-Verlag, NY. 2015.
Section: Chapter 1, First order differential equations. Section 1.4.1. Integrating factors. Exercises page 41
Problem number: 3(e).
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_separable]

\[ \boxed {\cos \left (\theta \right ) v^{\prime }+v=3} \] With initial conditions \begin {align*} \left [v \left (\frac {\pi }{2}\right ) = 1\right ] \end {align*}

✗ Solution by Maple

dsolve([cos(theta)*diff(v(theta),theta)+v(theta)=3,v(1/2*Pi) = 1],v(theta), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[{Cos[theta]*v'[theta]+v[theta]==3,{v[Pi/2]==1}},v[theta],theta,IncludeSingularSolutions -> True]
                                                                                    
                                                                                    
 

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