2.1609   ODE No. 1609

\[ a^2 \sin (y(x))-b f(x)+y''(x)=0 \] Mathematica : cpu = 0.0197765 (sec), leaf count = 0

DSolve[-(b*f[x]) + a^2*Sin[y[x]] + Derivative[2][y][x] == 0,y[x],x]
 

, could not solve

DSolve[-(b*f[x]) + a^2*Sin[y[x]] + Derivative[2][y][x] == 0, y[x], x]

Maple : cpu = 0. (sec), leaf count = 0

dsolve(diff(diff(y(x),x),x)+a^2*sin(y(x))-b*f(x)=0,y(x))
 

, could not solve

dsolve(diff(diff(y(x),x),x)+a^2*sin(y(x))-b*f(x)=0,y(x))