# CBSE Class 12-science Answered

sir i only need the correct option

Asked by arijits949596 | 29 Apr, 2020, 10:26: PM

Expert Answer

Correct option for each of the questions:

1. The slope at point of a curve y=f(x) is given by dy/dx=3x

^{2}and it passes through (-1, 1). The equation of the curve is x^{3}+2.2. Degree of the differential equation [1+(dy/dx)^2]^5/3 = d

^{2}y/dx^{2}is 1.3. The general solution of the differential equation d

^{2}y/dx^{2}=e^{-2x}is y=1/4 e^{-2x}+cx +d.4. The differential equation of the family of all circles with centre at origin is x+yy

_{1}=05. The solution of the differential equationdy/dx=e

^{x+y}+ e^{y-x}is e^{-y}= e^{-x}- e^{x}+ c.6. Differential equation of all tangents to the parabola y^2=4ax is y=mx+a/m.

7. The differential equation satisfied by y = A/x + B is xy

_{2}+2y_{1}=0.8. The equation of the curve whose slope at any point different from origin is y+y/x is y = xe^x + c, c is not equal to zero.

9. Solution of the differential equation dy/dx = 1+xy is ye

^{(-x^2)/2}= {e^{(-x^2)/2}}/-x+c10. The general solution of the differential equation (d

^{2}y/dx^{2})2+(dy/dx)^{2}-xy=0 is11. The integrating factor of the differential equation dy/dx(xlox)+y=2logx is given by log x.

12. Solution of the differential equation dy/dx+y/x = x

^{2}is given by y=1/4 x^{3}+ cx^{-1}, c is any real number.
Answered by Renu Varma | 30 Apr, 2020, 01:59: PM

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