Particular Solution of a Differential Equation
Trending Questions
Q. If dydx=xyx2+y2;y(1)=1; then a value of x satisfying y(x)=e is:
- √3e
- 12√3e
- √2e
- e√2
Q. The equation of family of curves for which the length of the normal is equal to the radius vector is
- y2±x2=k
- y±x=k
- y2=kx
- None of these
Q. If xloge(logex)−x2+y2=4 (y>0), then dydx at x=e is equal to :
- (2e−1)2√4+e2
- e√4+e2
- (1+2e)2√4+e2
- (1+2e)√4+e2
Q. If y=y(x) is the solution of the differential equation dydx+2ytanx=sinx, y(π3)=0 then the maximum value of the function y(x) over R is equal to:
- −154
- 12
- 8
- 18
Q. Solution of the differential equation 2y sin xdydx=2 sin x cos x−y2 cos x satisfying y(π2)=1)is given by
- y2=sin x
- y=sin2 x
- y2=cos x+1
- y2=sin x=4cos2x