ecuacions diferencials

int[ d_{x}[f(x^{m})] ] d[x] = ...

... f(x^{m}) = f(x^{m})

int[ d_{( f^{o(-1)}( e-[o(t)o]-pow[(-n)](y) ) )^{(1/m)}}[f^{o(-1)}( e-[o(t)o]-pow[(-n)](y) )] ] d[x] = ...

... f^{o(-1)}( f(x^{m}) ) = x^{m}

d_{x}[ pow[(-n)]-[o(t)o]-ln( f(x^{m}) ) ] = (1/f(x^{m}))·d_{x}[f(x^{m})]·(-n)·(x^{(-1)·(n+1)})

d_{y}[ e-[o(t)o]-pow[(-n)](y) ] = ...

... e-[o(t)o]-pow[(-n)](y)·...

... d_{( f^{o(-1)}( e-[o(t)o]-pow[(-n)](y) ) )^{(1/m)}}[f^{o(-1)}( e-[o(t)o]-pow[(-n)](y) )]·...

... (1/(-n))·( f^{o(-1)}( e-[o(t)o]-pow[(-n)](y) ) )^{((n+1)/m)}

d_{t}[y] = ...

... (c/d^{n+m})·(1/(b^{m}+(-1)·a^{m}))·y^{n+1}(y^{m}+a^{m})·(y^{m}+b^{m})

y(t) = ...

... ( ( (a^{m}+(-1)·b^{m})/(e-[o(t)o]-pow[(-n)]((-n)·(c/d^{n+m})·t)+(-1)) )+(-1)·b^{m} )^{(1/m)}