Internal problem ID [13370]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 5. LINEAR FIRST ORDER EQUATIONS. Additional exercises. page
103
Problem number: 5.3 (d).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime } x +3 y=20 x^{2}} \] With initial conditions \begin {align*} [y \left (1\right ) = 10] \end {align*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 15
dsolve([x*diff(y(x),x)+3*y(x)=20*x^2,y(1) = 10],y(x), singsol=all)
\[ y \left (x \right ) = \frac {4 x^{5}+6}{x^{3}} \]
✓ Solution by Mathematica
Time used: 0.027 (sec). Leaf size: 16
DSolve[{x*y'[x]+3*y[x]==20*x^2,{y[1]==10}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {4 x^5+6}{x^3} \]