Internal problem ID [5099]
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: 13.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {-y+x y^{\prime }=\cos \left (x \right ) x^{3}} \] With initial conditions \begin {align*} [y \left (\pi \right ) = 0] \end {align*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 14
dsolve([x*diff(y(x),x)-y(x)=x^3*cos(x),y(Pi) = 0],y(x), singsol=all)
\[ y \left (x \right ) = \left (\cos \left (x \right )+\sin \left (x \right ) x +1\right ) x \]
✓ Solution by Mathematica
Time used: 0.042 (sec). Leaf size: 15
DSolve[{x*y'[x]-y[x]==x^3*Cos[x],{y[Pi]==0}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to x (x \sin (x)+\cos (x)+1) \]