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Recent questions tagged p199

The solution of the equation $(2y-1)dx-(2x+3)dy=0$ is\[(A)\;\frac{2x-1}{2y+3}=k \quad (B)\;\frac{2y+1}{2x-3}=k \quad (C)\;\frac{2x+3}{2y-1}=k \quad (D)\;\frac{2x-1}{2y+1}=k \]

asked Jan 20, 2013 by sreemathi.v

1 answer

The general solution of the differential equation $\large\frac{dy}{dx} $$=e^{\large\frac{x^2}{2}}+xy$ is :\[(A)\;y=ce^{\large\frac{x^2}{2}} \quad (B)\;y=-ce^{\large\frac{x^2}{2}} \quad (C)\;y=(x+c)e^{\large\frac{x^2}{2}} \quad (D)\;y=(c-x)e^{\large\frac{x^2}{2}}\]

asked Jan 19, 2013 by sreemathi.v

1 answer

The curve for which the slope of the tangent at any point is equal to the ratio of the abscissa to the ordinate of the point is

asked Jan 19, 2013 by sreemathi.v

1 answer

The general solution of $\large\frac{dy}{dx}$$=2xe^{x^2-y}$ is: \[(A)\;e^{x^2-y}=c \quad (B)\;e^{-y}+e^{x^2}=c \quad(C)\;e^y=e^{x^2}+c \quad (D)\;e^{x^2}+y=c\]

asked Jan 19, 2013 by sreemathi.v

1 answer

Family $Y=Ax+A^3$ of curves will correspond to a differential equation of order \[(A)\;3\quad(B)\;2\quad(C)\;1\;(D)\;not\;defined\]

asked Jan 19, 2013 by sreemathi.v

1 answer

The differential equation of the family of curves $x^2+y^2-2ay=0$,where a is arbitrary constant,is\[(A)\;(x^2-y^2)\frac{dy}{dx}=2xy \quad (B)\;2(x^2+y^2)\frac{dy}{dx}=xy \quad (C)\;2(x^2-y^2)\frac{dy}{dx}=xy \quad (D)\;2(x^2+y^2)\frac{dy}{dx}=2xy\]

asked Jan 19, 2013 by sreemathi.v

1 answer

Choose the correct answer in the total revenue in Rupees received from the sale of $x$ units of a product is given by $Rx = 3x^2 +36x + 5$. The marginal revenue, when $x = 15$ is

asked Nov 23, 2012 by thanvigandhi_1

1 answer

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