A homogeneous differential equation of the from dydx=h(yx)can be solved by making the substitution.(A) y=vx (B) v=yx (C) x=vy (D) x=v
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If y=log∣cx∣x (where c is an arbitrary constant) is the general solution of the differential equation dxdy=xy+φ(yx), then the function φ(yx) is
Suppose that a mothball loses volume by evaporation at a rate proportional to its instantaneous area. If the diameter of the ball decreases from 2cm to 1cm in 3 months, how long will it take until the ball has practically gone?
Find the differential equation of all parabolas whose axis are parallel to the x-axis.
The rate at which a substance cools in moving air is proportional to the difference between the temperatures of the substance and that of the air. If the temperature of the air is 290 K and the substance cools from 370 K to 330 K in 10 min, when will the temperature be 295 K?
If for the differential equation y′=yx+ϕ(xy), the general solution is y=xlog|Cx|, then ϕ(x/y) is given by
A normal at any point (x,y) to the curve y=f(x) cuts a triangle of unit area with the axis, the differential equation of the curve is
What is the order of the differential equation?