83.43.10 problem Ex 11 page 13

Internal problem ID [19518]
Book : A Text book for differentional equations for postgraduate students by Ray and Chaturvedi. First edition, 1958. BHASKAR press. INDIA
Section : Book Solved Excercises. Chapter II. Equations of first order and first degree
Problem number : Ex 11 page 13
Date solved : Tuesday, January 28, 2025 at 01:48:10 PM
CAS classification : [_linear]

\begin{align*} \cos \left (x \right ) y^{\prime }+y \sin \left (x \right )&=1 \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 11

dsolve(cos(x)*diff(y(x),x)+y(x)*sin(x)=1,y(x), singsol=all)
 

\[ y \left (x \right ) = \cos \left (x \right ) c_{1} +\sin \left (x \right ) \]

✓ Solution by Mathematica

Time used: 0.033 (sec). Leaf size: 13

DSolve[Cos[x]*D[y[x],x]+y[x]*Sin[x]==1,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \sin (x)+c_1 \cos (x) \]