Internal problem ID [2367]
Book: Differential Equations by Alfred L. Nelson, Karl W. Folley, Max Coral. 3rd ed. DC heath.
Boston. 1964
Section: Exercise 40, page 186
Problem number: 4.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime }-\frac {y}{x}=3 x} \] With initial conditions \begin {align*} [y \left (1\right ) = 3] \end {align*}
With the expansion point for the power series method at \(x = 1\).
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 16
Order:=5; dsolve([diff(y(x),x)=3*x+y(x)/x,y(1) = 3],y(x),type='series',x=1);
\[ y \left (x \right ) = 3 x^{2} \]
✓ Solution by Mathematica
Time used: 0.028 (sec). Leaf size: 17
AsymptoticDSolveValue[{y'[x]==3*x+y[x]/x,{y[1]==3}},y[x],{x,1,4}]
\[ y(x)\to 3 (x-1)^2+6 (x-1)+3 \]