Input:
pdsolve(ds(y,t,0.5)=2*ds(y,x,0.5)-y^2)
Write:
`pdsolve(ds(y,t,0.5)=2*ds(y,x,0.5)-y^2)`
Compute:
$$pdsolve(\frac{d^{{0.5}}y}{dt^{{0.5}}}=2\ \frac{d^{{0.5}}y}{dx^{{0.5}}} - {y}^{2})$$
Output:
$$pdsolve(\frac{d^{{0.5}}y}{dt^{{0.5}}}=2\ \frac{d^{{0.5}}y}{dx^{{0.5}}} - {y}^{2})== (-i)\ \frac{1}{\sqrt{\pi }}\ (\frac{1}{\sqrt{2\ C_1+C_2\ exp(4.0\ t+x)+t+C_1\ (1.1283791670955126\ \sqrt{t}+0.5641895835477563\ \sqrt{x})}})$$
Result: $$(-i)\ \frac{1}{\sqrt{\pi }}\ (\frac{1}{\sqrt{2\ C_1+C_2\ exp(4.0\ t+x)+t+C_1\ (1.1283791670955126\ \sqrt{t}+0.5641895835477563\ \sqrt{x})}})$$
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