Input:
pdsolve(ds(y,t)=ds(y,x,2) +ds(y,u,2) +ds(y,v,2))
Write:
`pdsolve(ds(y,t)=ds(y,x,2) +ds(y,u,2) +ds(y,v,2))`
Compute:
$$pdsolve(\frac{dy}{dt} =\frac{d^{{2}}y}{dx^{{2}}}+\frac{d^{{2}}y}{du^{{2}}}+\frac{d^{{2}}y}{dv^{{2}}})$$
Output:
$$pdsolve(\frac{dy}{dt} =\frac{d^{{2}}y}{dx^{{2}}}+\frac{d^{{2}}y}{du^{{2}}}+\frac{d^{{2}}y}{dv^{{2}}})== C_1+C_2\ exp((-3)\ t)\ sin(u)\ sin(v)\ sin(x)+C_3\ (3\ t+u+\frac{1}{2}\ {u}^{2}+v+\frac{1}{2}\ {v}^{2}+x+\frac{1}{2}\ {x}^{2})$$
Result: $$C_1+C_2\ exp((-3)\ t)\ sin(u)\ sin(v)\ sin(x)+C_3\ (3\ t+u+\frac{1}{2}\ {u}^{2}+v+\frac{1}{2}\ {v}^{2}+x+\frac{1}{2}\ {x}^{2})$$
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