[" 14.The family passing through "(0,0)" and satisfying "],[" the differential equation "(y_(2))/(y_(1))=1" (where "],[y_(n)=(d^(n)y)/(dx^(n))" ) is "]

The family of curves passing through (0,0) and satisfying the differential equation (y_(2))/(y_(1))=1( where backslash,y_(n)=(d^(n)y)/(dx^(n))) is (A)y=k (B) y=kx(C)y=k(e^(x)+1)(C)y=k(e^(x)-1)

The family of curves passing through (0,0) and satisfying the differential equation y_2/y_1=1 ("where", y_n=(d^ny)/dx^n) is (A) y=k (B) y=kx (C) y= k(e^x +1) (C) y= k(e^x -1)

The general solution of xy_(5)=y_(4) where (y_(n)=(d^(n)y)/(dx^(n))) is given by

The equation of the curve passing through (3,4) and satisfying the differential equation. y((dy)/(dx))^(2)+(x-y)(dy)/(dx)-x=0 can be

The equation of the curve passing through (3,4) and satisfying the differential equation. y((dy)/(dx))^(2)+(x-y)(dy)/(dx)-x=0 can be

If y=f(x) passing through (1,2) satisfies are differential equation y(1+xy)dx-x dy=0, then

If the curve y=f(x) passing through the point (1,2) and satisfies the differential equation xdy+(y+x^(3)y^(2))dx=0 ,then

The equation of the curve passing through the point (1,1) and satisfying the differential equation (dy)/(dx) = (x+2y-3)/(y-2x+1) is