CBSE Class 12 Applied Mathematics — Integration and its Applications / Differential Equations

(a) Find the consumer's surplus for the demand function $p = 25 - x - x^2$, where the prevailing market price $p_0 = 19$. OR (b) Solve the following initial value differential equation : $(x - 1) \frac{dy}{dx} = 2xy$, when $y(2) = 1$.