ODE
\[ a \left (y(x)^2-1\right ) y'(x)+b y(x)+y''(x)=0 \] ODE Classification
[[_2nd_order, _missing_x]]
Book solution method
TO DO
Mathematica ✗
cpu = 24.3961 (sec), leaf count = 0 , could not solve
DSolve[b*y[x] + a*(-1 + y[x]^2)*Derivative[1][y][x] + Derivative[2][y][x] == 0, y[x], x]
Maple ✗
cpu = 2.834 (sec), leaf count = 0 , result contains DESol or ODESolStruc
\[[]\]
Mathematica raw input
DSolve[b*y[x] + a*(-1 + y[x]^2)*y'[x] + y''[x] == 0,y[x],x]
Mathematica raw output
DSolve[b*y[x] + a*(-1 + y[x]^2)*Derivative[1][y][x] + Derivative[2][y][x] == 0, y[x], x]
Maple raw input
dsolve(diff(diff(y(x),x),x)+a*(y(x)^2-1)*diff(y(x),x)+b*y(x) = 0, y(x))
Maple raw output
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