\(\frac{dy}{dx} = -\frac{1}{10\sqrt{x}}\), \(y(9) = 0\)
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First, we need to find the general solution of the differential equation y'(z) = (-2/10)sqrt(x) + (9/10). To do this, we can integrate both sides with respect to z: ∫y'(z) dz = ∫(-2/10)sqrt(x) + (9/10) dz y(z) = (-4/15)x^(3/2) + (9/10)z + C where C is the Show more…
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