ODE No. 84

3.84 ODE No. 84

$\frac{d}{d x} y (x) - f (a x + b y (x)) = 0$

Problem in Latex
Mathematica input
Maple input

Mathematica: cpu = 8.757112 (sec), leaf count = 244 $Solve [\int_{1}^{y (x)} - \frac{b f (b K [2] + a x) (\int_{1}^{x} (\frac{b^{2} f^{'} (a K [1] + b K [2])}{b f (a K [1] + b K [2]) + a} - \frac{b^{3} f (a K [1] + b K [2]) f^{'} (a K [1] + b K [2])}{(b f (a K [1] + b K [2]) + a)^{2}}) d K [1]) + a \int_{1}^{x} (\frac{b^{2} f^{'} (a K [1] + b K [2])}{b f (a K [1] + b K [2]) + a} - \frac{b^{3} f (a K [1] + b K [2]) f^{'} (a K [1] + b K [2])}{(b f (a K [1] + b K [2]) + a)^{2}}) d K [1] + b}{b f (b K [2] + a x) + a} d K [2] + \int_{1}^{x} \frac{b f (a K [1] + b y (x))}{b f (a K [1] + b y (x)) + a} d K [1] = c_{1}, y (x)]$

Maple: cpu = 0.031 (sec), leaf count = 37 ${y (x) = \frac{R o o t O f (\int^{_Z} {(f (_a b) b + a)}^{- 1} d_a b - x +_C 1) b - a x}{b}}$

[next] [prev] [prev-tail] [front] [up]