2.30 problem Problem 5(d)

Internal problem ID [12251]

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(d).
ODE order: 2.
ODE degree: 1.

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

\[ \boxed {x y^{\prime \prime }+2 x^{2} y^{\prime }+\sin \left (x \right ) y=\sinh \left (x \right )} \] With initial conditions \begin {align*} [y \left (0\right ) = 1, y^{\prime }\left (0\right ) = 1] \end {align*}

✗ Solution by Maple

dsolve([x*diff(y(x),x$2)+2*x^2*diff(y(x),x)+y(x)*sin(x)=sinh(x),y(0) = 1, D(y)(0) = 1],y(x), singsol=all)
 

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

DSolve[{x^2*y''[x]+2*x^2*y'[x]+y[x]*Sin[x]==Sinh[x],{y[0]==1,y'[0]==1}},y[x],x,IncludeSingularSolutions -> True]
                                                                                    
                                                                                    
 

Not solved