38.1.10 problem 10

Internal problem ID [6427]
Book : Engineering Mathematics. By K. A. Stroud. 5th edition. Industrial press Inc. NY. 2001
Section : Program 24. First order differential equations. Test excercise 24. page 1067
Problem number : 10
Date solved : Monday, January 27, 2025 at 02:02:38 PM
CAS classification : [_linear]

\begin{align*} x y^{\prime }-2 y&=x^{3} \cos \left (x \right ) \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 12

dsolve(x*diff(y(x),x)-2*y(x)=x^3*cos(x),y(x), singsol=all)
 

\[ y = \left (\sin \left (x \right )+c_1 \right ) x^{2} \]

✓ Solution by Mathematica

Time used: 0.036 (sec). Leaf size: 14

DSolve[x*D[y[x],x]-2*y[x]==x^3*Cos[x],y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to x^2 (\sin (x)+c_1) \]