2.27 problem Problem 5(a)

Internal problem ID [12248]

Book: APPLIED DIFFERENTIAL EQUATIONS The Primary Course by Vladimir A. Dobrushkin. CRC Press 2015
Section: Chapter 4, Second and Higher Order Linear Differential Equations. Problems page 221
Problem number: Problem 5(a).
ODE order: 2.
ODE degree: 1.

CAS Maple gives this as type [[_2nd_order, _linear, _nonhomogeneous]]

\[ \boxed {\left (x -3\right ) y^{\prime \prime }+y \ln \left (x \right )=x^{2}} \] With initial conditions \begin {align*} [y \left (1\right ) = 1, y^{\prime }\left (1\right ) = 2] \end {align*}

✗ Solution by Maple

dsolve([(x-3)*diff(y(x),x$2)+ln(x)*y(x)=x^2,y(1) = 1, D(y)(1) = 2],y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[{(x-3)*y''[x]+log[x]*y[x]==x^2,{y[1]==1,y'[1]==2}},y[x],x,IncludeSingularSolutions -> True]
                                                                                    
                                                                                    
 

Not solved