Differential Equations

Mathematics

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Qn #1825
Water runs into a conical tank of radius $5$ ft and height $10$ ft at a constant rate of $2\text{ ft}^3/\text{min}$. How fast is the water level rising when the water is $6$ ft deep?
Qn #1280
The solution of the differential equation $\dfrac{dy}{dx}=e^{x+y}+x^2e^y$ is
Qn #1275
The solution of (ex + 1) y dy = (y + 1) edx is
Qn #1197
Through any point (x, y) of a curve which passes through the origin, lines are drawn parallel to the coordinate axes. The curve, given that it divides the rectangle formed by the two lines and the axes into two areas, one of which is twice the other, represents a family of
Qn #1053
The curve satisfying the differential equation ydx-(x+3y2)dy=0 and passing through the point (1,1) also passes through the point __________
    Differential Equations Practice Questions | Group Studies Library | Tancet Group Studies