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Recent questions tagged p196

Solution of $\Large \frac{dy}{dx}$$-y=1,y(0)=1$ is given by \[(A)\;xy=-e^x\quad(B)\;xy=-e^{-x}\quad(C)\;xy=-1\quad(D)\;y=2e^x-1\]

asked Jan 18, 2013 by sreemathi.v

1 answer

Integrating factor of $x\Large \frac{dx}{dy}\normalsize-y=x^4-3x$ is \[(A)\;x\quad(B)\;log x\quad(C)\;\frac{1}{x}\quad(D)\;-x\]

asked Jan 18, 2013 by sreemathi.v

1 answer

Family $y=Ax+A^3$ of curves is represented by the differential equation of degree\[(A)\;1\quad(B)\;2\quad(C)\;3\quad(D)\;4\]

asked Jan 18, 2013 by sreemathi.v

1 answer

Solution of the differential equation $\tan y\sec^2x dx+\tan x\sec^2y dy=0$ is \[(A)\;\tan x+\tan y=c \quad (B)\;\tan x-\tan y=c \quad(C)\;\frac{\tan x}{\tan y}=c \quad (D\;\tan x.tan y=c\]

asked Jan 18, 2013 by sreemathi.v

1 answer

Integrating factor of the differential equation $\cos x\large\frac{dy}{dx}$$+y\sin x=1$ is:\[(A)\;\cos x\quad(B)\;\tan x\quad(C)\;\sec x\quad(D)\;\sin x\]

asked Jan 18, 2013 by sreemathi.v

1 answer

Solution of differential equation $x dy-y dx=0$ represents:

asked Jan 18, 2013 by sreemathi.v

1 answer

The differential equation for $y=A\cos\alpha x+B\sin\alpha x,$where A and B are arbitrary constants is\begin{array}{1 1}(A)\;\frac{d^2y}{dx^2}+x^2y=0 & (B)\;\frac{d^2y}{dx^2}+\alpha^2y=0\\(C)\;\frac{d^2y}{dx^2}+y=0 & (D)\;\frac{d^2y}{dx^2}-y=0\end{array}

asked Jan 18, 2013 by sreemathi.v

1 answer

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