75.6.22 problem 155

Internal problem ID [16778]
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 : 155
Date solved : Tuesday, January 28, 2025 at 09:22:17 AM
CAS classification : [_linear]

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

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 10

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

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

✓ Solution by Mathematica

Time used: 0.030 (sec). Leaf size: 12

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

\[ y(x)\to (x+c_1) \csc (x) \]