73.4.24 problem 5.3 (d)

Internal problem ID [15106]
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)
Date solved : Tuesday, January 28, 2025 at 07:30:56 AM
CAS classification : [_linear]

\begin{align*} x y^{\prime }+3 y&=20 x^{2} \end{align*}

With initial conditions

\begin{align*} y \left (1\right )&=10 \end{align*}

✓ Solution by Maple

Time used: 0.010 (sec). Leaf size: 15

dsolve([x*diff(y(x),x)+3*y(x)=20*x^2,y(1) = 10],y(x), singsol=all)
 

\[ y = \frac {4 x^{5}+6}{x^{3}} \]

✓ Solution by Mathematica

Time used: 0.029 (sec). Leaf size: 16

DSolve[{x*D[y[x],x]+3*y[x]==20*x^2,{y[1]==10}},y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \frac {4 x^5+6}{x^3} \]