sir i only need the correct option

Asked by arijits949596 | 29th 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=3x2 and it passes through (-1, 1). The equation of the curve is x3+2.
2. Degree of the differential equation [1+(dy/dx)^2]^5/3 = d2y/dx2 is 1.
3. The general solution of the differential equation d2y/dx2=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+yy1=0 
5. The solution of the differential equationdy/dx=ex+y + ey-x is  e-y = e-x - ex + 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 xy2+2y1=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+c
10. The general solution of the differential equation (d2y/dx2)2+(dy/dx)2-xy=0 is 
11. 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 = x2 is given by y=1/4 x3 + cx-1, c is any real number.

Answered by Renu Varma | 30th Apr, 2020, 01:59: PM