2.567   ODE No. 567

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

\[ a \cos \left (y'(x)\right )+b y'(x)+x=0 \] Mathematica : cpu = 0.0902049 (sec), leaf count = 49

\[\text {Solve}\left [\left \{y(x)=a \sin (K[1])-a K[1] \cos (K[1])-\frac {1}{2} b K[1]^2+c_1,x=-a \cos (K[1])-b K[1]\right \},\{y(x),K[1]\}\right ]\] Maple : cpu = 0.055 (sec), leaf count = 18

\[\{y \left (x \right ) = c_{1}+\int \RootOf \left (\textit {\_Z} b +a \cos \left (\textit {\_Z} \right )+x \right )d x\}\]