Input:
pdsolve(ds(y,t,2)-2ds(y,x,2)-y^2-2x*y-x^2=0)
Write:
`pdsolve(ds(y,t,2)-2ds(y,x,2)-y^2-2x*y-x^2=0)`
Compute:
$$pdsolve((-2)\ \frac{d^{{2}}y}{dx^{{2}}}+\frac{d^{{2}}y}{dt^{{2}}}-{x}^{2}-2\ x\ y-{y}^{2}=0)$$
Output:
$$pdsolve((-2)\ \frac{d^{{2}}y}{dx^{{2}}}+\frac{d^{{2}}y}{dt^{{2}}}-{x}^{2}-2\ x\ y-{y}^{2}=0)== (-x)-6.0\ \frac{1}{(C_1-t-x)^2}\ and\ (-x)-6.0\ \frac{1}{(C_1+t+x)^2}$$
Result: $$(-x)-6.0\ \frac{1}{(C_1-t-x)^2}\ and\ (-x)-6.0\ \frac{1}{(C_1+t+x)^2}$$
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