ecuacions diferencials

d_{x}[y(x)]^{2} = ( n/(n+(-1)) )·y(x)·d_{xx}^{2}[y(x)]

y(x) = x^{n}

d_{x}[y(x)]^{2} = ( 1/(1+(-n)) )·y(x)·d_{xx}^{2}[y(x)]

y(x) = x^{(1/n)}

d_{x}[y(x)]^{2} = y(x)·d_{xx}^{2}[y(x)]

y(x) = e^{ax}

d_{x}[y(x)]^{3} = a·( y(x) )^{2}·d_{xx}^{2}[y(x)]

y(x) = e^{ax}