7.4.6 problem 6

Internal problem ID [78]
Book : Elementary Differential Equations. By C. Henry Edwards, David E. Penney and David Calvis. 6th edition. 2008
Section : Chapter 1. First order differential equations. Section 1.5 (linear equations). Problems at page 54
Problem number : 6
Date solved : Friday, February 07, 2025 at 07:48:30 AM
CAS classification : [_linear]

\begin{align*} x y^{\prime }+5 y&=7 x^{2} \end{align*}

With initial conditions

\begin{align*} y \left (2\right )&=5 \end{align*}

✓ Solution by Maple

Time used: 0.007 (sec). Leaf size: 13

dsolve([x*diff(y(x),x)+5*y(x)=7*x^2,y(2) = 5],y(x), singsol=all)
 

\[ y = \frac {x^{7}+32}{x^{5}} \]

✓ Solution by Mathematica

Time used: 0.028 (sec). Leaf size: 14

DSolve[{x*D[y[x],x]+5*y[x]==7*x^2,{y[2]==5}},y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \frac {x^7+32}{x^5} \]