Input:
pdsolve(ds(y,t)--6y*ds(y,x)--ds(y,x,3)=0)
Write:
`pdsolve(ds(y,t)--6y*ds(y,x)--ds(y,x,3)=0)`
Compute:
$$pdsolve(\frac{dy}{dt} +6\ y\ \frac{dy}{dx} +\frac{d^{{3}}y}{dx^{{3}}}=0)$$
Output:
$$pdsolve(\frac{dy}{dt} +6\ y\ \frac{dy}{dx} +\frac{d^{{3}}y}{dx^{{3}}}=0)== \frac {(\frac{-1}{6})}{C_1}\ ((-8)\ {C_1}^{3}+C_2+12\ {C_1}^{3}\ {tanh(C_3+C_2\ t+C_1\ x)}^{2})$$
Result: $$\frac {(\frac{-1}{6})}{C_1}\ ((-8)\ {C_1}^{3}+C_2+12\ {C_1}^{3}\ {tanh(C_3+C_2\ t+C_1\ x)}^{2})$$
zoom graph by mouse wheel.