I want to solve the following differential equation for $0 < x < 1$
DSolve[y''[x] == (λ x^(3/4) y[x])/Sqrt[1-x], y[x], x]
NSolve[y''[x] == (λ x^(3/4) y[x])/Sqrt[1-x], y[x], x]
But do not know how to actually solve it. Any suggestion?
p = ParametricNDSolve[{y''[x] == (l x^(3/4) y[x])/Sqrt[1 - x],
y[0] == 1, y'[0] == 1/2}, y, {x, 0, 1}, l]
Show@Quiet@Table[Plot[(y /. p)[l][x], {x, 0.1, 1}], {l, 1, 3}]
Table[Plot[(y /. p)[l][x], {l, 0.1, 1}], {x, .1, .7, .1}]
, though
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Jun 18, 2015 at 20:42