83.49.7 problem Ex 7 page 124

Internal problem ID [19620]
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 VIII. Linear equations of second order
Problem number : Ex 7 page 124
Date solved : Tuesday, January 28, 2025 at 02:04:53 PM
CAS classification : [[_2nd_order, _linear, _nonhomogeneous]]

\begin{align*} y^{\prime \prime }+\left (1+\frac {2 \cot \left (x \right )}{x}-\frac {2}{x^{2}}\right ) y&=x \cos \left (x \right ) \end{align*}

✗ Solution by Maple

dsolve(diff(y(x),x$2)+(1+2/x*cot(x)-2/x^2)*y(x)=x*cos(x),y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[D[y[x],{x,2}]+(1+2/x*Cot[x]-2/x^2)*y[x]==x*Cos[x],y[x],x,IncludeSingularSolutions -> True]
 

Not solved