Mathematics · Differential Equations
Let the tangent at any point P on a curve passing through the points (1, 1) and (110, 100) intersect the positive x-axis and y-axis at points A and B respectively. If PA : PB = 1 : k and y = y(x) is the solution of the differential equation edy/dx = kx + k2 with y(0) = k, then the value of 4y(1) - 5 loge3 is equal to:
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