Input:
dsolve(y(0.5,x)-y(-0.5,x)-y-exp(x)=0)
Write:
`dsolve(y(0.5,x)-y(-0.5,x)-y-exp(x)=0)`
Compute:
$$dsolve(y^{(0.5)}(x) - \int y(x)\ (dx)^{0.5} - y - exp(x)=0)$$
Output:
$$dsolve(y^{(0.5)}(x) - \int y(x)\ (dx)^{0.5} - y - exp(x)=0)== -exp(x)+C_1\ exp(2.618033988749895\ x)$$
Result: $$-exp(x)+C_1\ exp(2.618033988749895\ x)$$
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