Using 11.3 on widnows 10, this input
ClearAll[w, x, y, a, b, lambda, mu];
pde = D[w[x, y], x] + (a*Exp[lambda*x]*y^2 + mu*y -
a*b^2*Exp[(lambda + 2 mu)*x])*D[w[x, y], y] == 0;
sol = DSolve[pde, w[x, y], {x, y}]
gives
When changing 2 mu
to just mu
the kernel error goes away
ClearAll[w, x, y, a, b, lambda, mu];
pde = D[w[x, y], x] + (a*Exp[lambda*x]*y^2 + mu*y -
a*b^2*Exp[(lambda + mu)*x])*D[w[x, y], y] == 0;
sol = DSolve[pde, w[x, y], {x, y}]
why does DSolve
generate this kernel error on first input above but not the second? Is this a bug?