Internal problem ID [13356]
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: 5.1 (j).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime } x -827 y=-\cos \left (x^{2}\right )} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 22
dsolve(x*diff(y(x),x)+cos(x^2)=827*y(x),y(x), singsol=all)
\[ y \left (x \right ) = \left (-\left (\int \frac {\cos \left (x^{2}\right )}{x^{828}}d x \right )+c_{1} \right ) x^{827} \]
✓ Solution by Mathematica
Time used: 6.501 (sec). Leaf size: 2119
DSolve[x*y'[x]+Cos[x^2]==827*y[x],y[x],x,IncludeSingularSolutions -> True]
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