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Is this the correct way to solve this problem?

d = {{9.721036901*10^-7, 0.80119823*10^-6}, {9.728704323*10^-7, 0.83015194*10^-6}, {9.728577185000001*10^-7, 0.857031534*10^-6},{9.728430487000002*10^-7, 0.88804645*10^-6}, {9.733506242*10^-7, 0.914930348*10^-6}, {9.733359543*10^-7, 0.945945264*10^-6}};

b = Interpolation[d, InterpolationOrder -> 1];

bb = b[a]*10^-4;

yF = ParametricNDSolveValue[{y'[t] == bb y[t], y[0] == 1}, y, {t, 0, 10}, {a}]
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  • $\begingroup$ What you want to achieve? $\endgroup$ – zhk Jan 11 '17 at 4:59
  • $\begingroup$ What is "this problem"? $\endgroup$ – Alexei Boulbitch Jan 11 '17 at 8:15
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You've done everything right.

yF = ParametricNDSolveValue[{y'[t] == bb y[t], y[0] == 1}, y, {t, 0, 10}, {a}];
Plot[Evaluate@Table[Callout[yF[a][t], a], {a, 0, 5}], {t, 0, 10}]

enter image description here

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