Integrating Factor
« Previous Topic: Order and Degree of Differential Equation Next Topic: Homogeneous Differential Equation »
Differential Equation

87238 The general solution of the differential equation \((x+y) d x+x d y=0\) is

1 \(x^{2}+y^{2}=C\)
2 \(2 \mathrm{x}^{2}-\mathrm{y}^{2}=\mathrm{C}\)
3 \(x^{2}+2 x y=C\)
4 \(y^{2}+2 x y=C\)
JCECE-2014
Differential Equation

87221 The particular integral of \(\frac{d^{2} y}{{d x^{2}}^{2}}+2 y=x^{2}\) is

1 \(\mathrm{x}^{2}-1\)
2 \(x^{2}+1\)
3 \(\frac{1}{2}\left(\mathrm{x}^{2}-1\right)\)
4 \(\frac{1}{2}\left(\mathrm{x}^{2}+1\right)\)
VITEEE-2006
Differential Equation

87222 The solution of the differential equation \(\frac{d y}{d x}=2 e^{x-y}+x^{2} e^{-y}\) is

1 \(\mathrm{e}^{\mathrm{y}}=2 \mathrm{e}^{\mathrm{x}}+\frac{\mathrm{x}^{3}}{3}+\mathrm{C}\)
2 \(\mathrm{e}^{-\mathrm{y}}=2 \mathrm{e}^{\mathrm{x}}+\frac{\mathrm{x}^{-3}}{3}+\mathrm{C}\)
3 \(\mathrm{e}^{-\mathrm{y}}=2 \mathrm{e}^{\mathrm{x}}+\frac{\mathrm{x}^{3}}{3}+\mathrm{C}\)
4 \(\mathrm{e}^{\mathrm{y}}=2 \mathrm{e}^{-\mathrm{x}}+\frac{\mathrm{x}^{3}}{3}+\mathrm{C}\)
Differential Equation

87223 The solution of the differential equation \(\left(x+2 y^{3}\right) \frac{d y}{d x}=y\) is

1 \(y^{3}+C x=y\)
2 \(\frac{x y^{4}}{2}+x y=C y\)
3 \(y^{3}+C y=x\)
4 \(x+2 y^{3}=y+C\)
UPSEE-2016
For More Updates join with Us
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Differential Equation

87238 The general solution of the differential equation \((x+y) d x+x d y=0\) is

1 \(x^{2}+y^{2}=C\)
2 \(2 \mathrm{x}^{2}-\mathrm{y}^{2}=\mathrm{C}\)
3 \(x^{2}+2 x y=C\)
4 \(y^{2}+2 x y=C\)
JCECE-2014
Differential Equation

87221 The particular integral of \(\frac{d^{2} y}{{d x^{2}}^{2}}+2 y=x^{2}\) is

1 \(\mathrm{x}^{2}-1\)
2 \(x^{2}+1\)
3 \(\frac{1}{2}\left(\mathrm{x}^{2}-1\right)\)
4 \(\frac{1}{2}\left(\mathrm{x}^{2}+1\right)\)
VITEEE-2006
Differential Equation

87222 The solution of the differential equation \(\frac{d y}{d x}=2 e^{x-y}+x^{2} e^{-y}\) is

1 \(\mathrm{e}^{\mathrm{y}}=2 \mathrm{e}^{\mathrm{x}}+\frac{\mathrm{x}^{3}}{3}+\mathrm{C}\)
2 \(\mathrm{e}^{-\mathrm{y}}=2 \mathrm{e}^{\mathrm{x}}+\frac{\mathrm{x}^{-3}}{3}+\mathrm{C}\)
3 \(\mathrm{e}^{-\mathrm{y}}=2 \mathrm{e}^{\mathrm{x}}+\frac{\mathrm{x}^{3}}{3}+\mathrm{C}\)
4 \(\mathrm{e}^{\mathrm{y}}=2 \mathrm{e}^{-\mathrm{x}}+\frac{\mathrm{x}^{3}}{3}+\mathrm{C}\)
Differential Equation

87223 The solution of the differential equation \(\left(x+2 y^{3}\right) \frac{d y}{d x}=y\) is

1 \(y^{3}+C x=y\)
2 \(\frac{x y^{4}}{2}+x y=C y\)
3 \(y^{3}+C y=x\)
4 \(x+2 y^{3}=y+C\)
UPSEE-2016
NEET DIGITAL LIBRARY
Differential Equation

87238 The general solution of the differential equation \((x+y) d x+x d y=0\) is

1 \(x^{2}+y^{2}=C\)
2 \(2 \mathrm{x}^{2}-\mathrm{y}^{2}=\mathrm{C}\)
3 \(x^{2}+2 x y=C\)
4 \(y^{2}+2 x y=C\)
JCECE-2014
Differential Equation

87221 The particular integral of \(\frac{d^{2} y}{{d x^{2}}^{2}}+2 y=x^{2}\) is

1 \(\mathrm{x}^{2}-1\)
2 \(x^{2}+1\)
3 \(\frac{1}{2}\left(\mathrm{x}^{2}-1\right)\)
4 \(\frac{1}{2}\left(\mathrm{x}^{2}+1\right)\)
VITEEE-2006
Differential Equation

87222 The solution of the differential equation \(\frac{d y}{d x}=2 e^{x-y}+x^{2} e^{-y}\) is

1 \(\mathrm{e}^{\mathrm{y}}=2 \mathrm{e}^{\mathrm{x}}+\frac{\mathrm{x}^{3}}{3}+\mathrm{C}\)
2 \(\mathrm{e}^{-\mathrm{y}}=2 \mathrm{e}^{\mathrm{x}}+\frac{\mathrm{x}^{-3}}{3}+\mathrm{C}\)
3 \(\mathrm{e}^{-\mathrm{y}}=2 \mathrm{e}^{\mathrm{x}}+\frac{\mathrm{x}^{3}}{3}+\mathrm{C}\)
4 \(\mathrm{e}^{\mathrm{y}}=2 \mathrm{e}^{-\mathrm{x}}+\frac{\mathrm{x}^{3}}{3}+\mathrm{C}\)
Differential Equation

87223 The solution of the differential equation \(\left(x+2 y^{3}\right) \frac{d y}{d x}=y\) is

1 \(y^{3}+C x=y\)
2 \(\frac{x y^{4}}{2}+x y=C y\)
3 \(y^{3}+C y=x\)
4 \(x+2 y^{3}=y+C\)
UPSEE-2016
Join With Us for More Updates
Differential Equation

87238 The general solution of the differential equation \((x+y) d x+x d y=0\) is

1 \(x^{2}+y^{2}=C\)
2 \(2 \mathrm{x}^{2}-\mathrm{y}^{2}=\mathrm{C}\)
3 \(x^{2}+2 x y=C\)
4 \(y^{2}+2 x y=C\)
JCECE-2014
Differential Equation

87221 The particular integral of \(\frac{d^{2} y}{{d x^{2}}^{2}}+2 y=x^{2}\) is

1 \(\mathrm{x}^{2}-1\)
2 \(x^{2}+1\)
3 \(\frac{1}{2}\left(\mathrm{x}^{2}-1\right)\)
4 \(\frac{1}{2}\left(\mathrm{x}^{2}+1\right)\)
VITEEE-2006
Differential Equation

87222 The solution of the differential equation \(\frac{d y}{d x}=2 e^{x-y}+x^{2} e^{-y}\) is

1 \(\mathrm{e}^{\mathrm{y}}=2 \mathrm{e}^{\mathrm{x}}+\frac{\mathrm{x}^{3}}{3}+\mathrm{C}\)
2 \(\mathrm{e}^{-\mathrm{y}}=2 \mathrm{e}^{\mathrm{x}}+\frac{\mathrm{x}^{-3}}{3}+\mathrm{C}\)
3 \(\mathrm{e}^{-\mathrm{y}}=2 \mathrm{e}^{\mathrm{x}}+\frac{\mathrm{x}^{3}}{3}+\mathrm{C}\)
4 \(\mathrm{e}^{\mathrm{y}}=2 \mathrm{e}^{-\mathrm{x}}+\frac{\mathrm{x}^{3}}{3}+\mathrm{C}\)
Differential Equation

87223 The solution of the differential equation \(\left(x+2 y^{3}\right) \frac{d y}{d x}=y\) is

1 \(y^{3}+C x=y\)
2 \(\frac{x y^{4}}{2}+x y=C y\)
3 \(y^{3}+C y=x\)
4 \(x+2 y^{3}=y+C\)
UPSEE-2016
For More Updates join with Us