a) Solve the differential equation \( \frac{dy}{dx} + y = 2 \) . b) The demand and supply function of a product are given by \( Q_d = 32 - 0.5P \)…
Class 12 Business Mathematics · 2083 · Solved Question with Answer
a) Solve the differential equation \( \frac{dy}{dx} + y = 2 \).
b) The demand and supply function of a product are given by \( Q_d = 32 - 0.5P \) and \( Q_s = -8 + 0.3P \) and the rate of adjustment of price when the market is out of equilibrium is\( \frac{dP}{dt} = 0.25(Q_d - Q_s). \) Determine and obtain differential equation to get a function for P, in terms of 't'. Also find the value of P when t = 5, by taking integration constant 15.