Internal problem ID [4611]
Book: Engineering Mathematics. By K. A. Stroud. 5th edition. Industrial press Inc. NY.
2001
Section: Program 24. First order differential equations. Further problems 24. page 1068
Problem number: 34.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime } x +2 y-3 x +1=0} \] With initial conditions \begin {align*} [y \left (2\right ) = 1] \end {align*}
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 12
dsolve([x*diff(y(x),x)+2*y(x)=3*x-1,y(2) = 1],y(x), singsol=all)
\[ y \left (x \right ) = x -\frac {1}{2}-\frac {2}{x^{2}} \]
✓ Solution by Mathematica
Time used: 0.025 (sec). Leaf size: 15
DSolve[{x*y'[x]+2*y[x]==3*x-1,{y[2]==1}},y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -\frac {2}{x^2}+x-\frac {1}{2} \\ \end{align*}