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NEET DIGITAL LIBRARY
Differential Equation

87326 The differential equation of the family of curves \(r^{2}=a^{2} \cos 2 \theta\) where ' \(a\) ' is an arbitrary constant is :

1 \(\frac{\mathrm{dr}}{\mathrm{d} \theta}=\mathrm{r} \cot 2 \theta\)
2 \(\frac{\mathrm{dr}}{\mathrm{d} \theta}=\mathrm{r} \tan 2 \theta\)
3 \(\frac{\mathrm{dr}}{\mathrm{d} \theta}=\mathrm{r} \sin 2 \theta\)
4 \(\cos 2 \theta \cdot \frac{d r}{d \theta}+r \sin 2 \theta=0\)
AP EAMCET-24.04.2018
Differential Equation

87311 The solution of the differential equation
\(\frac{dy}{dx} = \frac{2xy - y^2}{2xy - x^2}\) is

1 \(xy(x + y) = C\)
2 \(xy(x - y) = C\)
3 \(x^2 y(x - y) = C\)
4 \(x^2 y(x + y) = C\)
AMU-2018
Differential Equation

87313 Which of the following is a correct solution of
\(x \cos x\left(\frac{d y}{d x}\right)+y(x \sin x+\cos x)=1\) ?

1 \(y x \sec y=C+\tan x\)
2 \(y x \cos y=C+\tan x\)
3 \(y x \sec x=C+\tan x\)
4 None of the above
AMU-2014
Differential Equation

87314 The solution of the differential equation \(\frac{d^{2} y}{d^{2}}+y=0\) is

1 \(y=3 \sin x+4 \cos x\)
2 \(y=x^{2}\)
3 \(y=x+2\)
4 \(y=\log x\)
AP EAMCET-19.08.2021
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Differential Equation

87326 The differential equation of the family of curves \(r^{2}=a^{2} \cos 2 \theta\) where ' \(a\) ' is an arbitrary constant is :

1 \(\frac{\mathrm{dr}}{\mathrm{d} \theta}=\mathrm{r} \cot 2 \theta\)
2 \(\frac{\mathrm{dr}}{\mathrm{d} \theta}=\mathrm{r} \tan 2 \theta\)
3 \(\frac{\mathrm{dr}}{\mathrm{d} \theta}=\mathrm{r} \sin 2 \theta\)
4 \(\cos 2 \theta \cdot \frac{d r}{d \theta}+r \sin 2 \theta=0\)
AP EAMCET-24.04.2018
Differential Equation

87311 The solution of the differential equation
\(\frac{dy}{dx} = \frac{2xy - y^2}{2xy - x^2}\) is

1 \(xy(x + y) = C\)
2 \(xy(x - y) = C\)
3 \(x^2 y(x - y) = C\)
4 \(x^2 y(x + y) = C\)
AMU-2018
Differential Equation

87313 Which of the following is a correct solution of
\(x \cos x\left(\frac{d y}{d x}\right)+y(x \sin x+\cos x)=1\) ?

1 \(y x \sec y=C+\tan x\)
2 \(y x \cos y=C+\tan x\)
3 \(y x \sec x=C+\tan x\)
4 None of the above
AMU-2014
Differential Equation

87314 The solution of the differential equation \(\frac{d^{2} y}{d^{2}}+y=0\) is

1 \(y=3 \sin x+4 \cos x\)
2 \(y=x^{2}\)
3 \(y=x+2\)
4 \(y=\log x\)
AP EAMCET-19.08.2021
For More Updates join with Us
Differential Equation

87326 The differential equation of the family of curves \(r^{2}=a^{2} \cos 2 \theta\) where ' \(a\) ' is an arbitrary constant is :

1 \(\frac{\mathrm{dr}}{\mathrm{d} \theta}=\mathrm{r} \cot 2 \theta\)
2 \(\frac{\mathrm{dr}}{\mathrm{d} \theta}=\mathrm{r} \tan 2 \theta\)
3 \(\frac{\mathrm{dr}}{\mathrm{d} \theta}=\mathrm{r} \sin 2 \theta\)
4 \(\cos 2 \theta \cdot \frac{d r}{d \theta}+r \sin 2 \theta=0\)
AP EAMCET-24.04.2018
Differential Equation

87311 The solution of the differential equation
\(\frac{dy}{dx} = \frac{2xy - y^2}{2xy - x^2}\) is

1 \(xy(x + y) = C\)
2 \(xy(x - y) = C\)
3 \(x^2 y(x - y) = C\)
4 \(x^2 y(x + y) = C\)
AMU-2018
Differential Equation

87313 Which of the following is a correct solution of
\(x \cos x\left(\frac{d y}{d x}\right)+y(x \sin x+\cos x)=1\) ?

1 \(y x \sec y=C+\tan x\)
2 \(y x \cos y=C+\tan x\)
3 \(y x \sec x=C+\tan x\)
4 None of the above
AMU-2014
Differential Equation

87314 The solution of the differential equation \(\frac{d^{2} y}{d^{2}}+y=0\) is

1 \(y=3 \sin x+4 \cos x\)
2 \(y=x^{2}\)
3 \(y=x+2\)
4 \(y=\log x\)
AP EAMCET-19.08.2021
NEET DIGITAL LIBRARY
Differential Equation

87326 The differential equation of the family of curves \(r^{2}=a^{2} \cos 2 \theta\) where ' \(a\) ' is an arbitrary constant is :

1 \(\frac{\mathrm{dr}}{\mathrm{d} \theta}=\mathrm{r} \cot 2 \theta\)
2 \(\frac{\mathrm{dr}}{\mathrm{d} \theta}=\mathrm{r} \tan 2 \theta\)
3 \(\frac{\mathrm{dr}}{\mathrm{d} \theta}=\mathrm{r} \sin 2 \theta\)
4 \(\cos 2 \theta \cdot \frac{d r}{d \theta}+r \sin 2 \theta=0\)
AP EAMCET-24.04.2018
Differential Equation

87311 The solution of the differential equation
\(\frac{dy}{dx} = \frac{2xy - y^2}{2xy - x^2}\) is

1 \(xy(x + y) = C\)
2 \(xy(x - y) = C\)
3 \(x^2 y(x - y) = C\)
4 \(x^2 y(x + y) = C\)
AMU-2018
Differential Equation

87313 Which of the following is a correct solution of
\(x \cos x\left(\frac{d y}{d x}\right)+y(x \sin x+\cos x)=1\) ?

1 \(y x \sec y=C+\tan x\)
2 \(y x \cos y=C+\tan x\)
3 \(y x \sec x=C+\tan x\)
4 None of the above
AMU-2014
Differential Equation

87314 The solution of the differential equation \(\frac{d^{2} y}{d^{2}}+y=0\) is

1 \(y=3 \sin x+4 \cos x\)
2 \(y=x^{2}\)
3 \(y=x+2\)
4 \(y=\log x\)
AP EAMCET-19.08.2021
Join With Us for More Updates