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Math Handbook Calculator

- Fractional Calculus Computer Algebra System

= `sum_0^oo ` mathHandbook.com





Input:
`dsolve(ds(y,x,0.5)-e^(x-1)/(1 + x)*y=0)`

Compute:
$$dsolve(\frac{d^{{0.5}}}{dx^{{0.5}}} y-(\frac {(e^{x-1})}{1+x})\ y=0)$$

Result:
$$E_{0.5} (c(1)+\frac{1}{2}\ exp(-1)^{2}\ Ei^{(0.5)}(1+x)\ \pi ^{\frac{1}{2}})$$

LaTeX:
E_{0.5} (c(1)+\frac{1}{2}\ exp(-1)^{2}\ Ei^{(0.5)}(1+x)\ \pi ^{\frac{1}{2}})

$$dsolve(\frac{d^{{0.5}}}{dx^{{0.5}}} y-(\frac {(e^{x-1})}{1+x})\ y=0) == E_{0.5} (c(1)+\frac{1}{2}\ exp(-1)^{2}\ Ei^{(0.5)}(1+x)\ \pi ^{\frac{1}{2}})$$




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