Internal problem ID [13269]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 2. Integration and differential equations. Additional exercises. page
32
Problem number: 2.4 (e).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {\cos \left (x \right ) y^{\prime }=\sin \left (x \right )} \] With initial conditions \begin {align*} [y \left (0\right ) = 3] \end {align*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 11
dsolve([cos(x)*diff(y(x),x)-sin(x)=0,y(0) = 3],y(x), singsol=all)
\[ y \left (x \right ) = -\ln \left (\cos \left (x \right )\right )+3 \]
✓ Solution by Mathematica
Time used: 0.01 (sec). Leaf size: 12
DSolve[{Cos[x]*y'[x]-Sin[x]==0,{y[0]==3}},y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to 3-\log (\cos (x)) \]