Internal problem ID [11656]
Book: Differential Equations by Shepley L. Ross. Third edition. John Willey. New Delhi.
2004.
Section: Chapter 2, section 2.3 (Linear equations). Exercises page 56
Problem number: 19.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime } x -2 y=2 x^{4}} \] With initial conditions \begin {align*} [y \left (2\right ) = 8] \end {align*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 13
dsolve([x*diff(y(x),x)-2*y(x)=2*x^4,y(2) = 8],y(x), singsol=all)
\[ y \left (x \right ) = \left (x^{2}-2\right ) x^{2} \]
✓ Solution by Mathematica
Time used: 0.043 (sec). Leaf size: 14
DSolve[{x*y'[x]-2*y[x]==2*x^4,{y[2]==8}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to x^2 \left (x^2-2\right ) \]