If y=y(x) satisfies the differential equation 8x(9+x)dy=(4+9+x)−1dx,x>0 and y(0)=7, then y(256)= (A) 16 (B) 80 (C) 3 (D) 9
Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation:xy=logy+C : yprime=1−xyy2(xy=1)
Verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation:y=ex+1:yprimeprime−yprime=0
At any point (x, y) of a curve, the slope of the tangent is twice the slope of the line segment joining the point of contact to the point (4,3). Find the equation of the curve given that it passes through (2,1).
Find the particular solution of the differential equation (1+e2x)dy+(1+y2)exdx=0, given that y=1whenx=0.
The general solution of the differential equation dxdy=ex+yis(A) ex+e−y=C (B) ex+ey=C(C) e−x+ey=C (D) e−x+e−y=C
The differential equations, find a particular solution satisfying the given condition: dydx+2ytanx=sinx;y=0when x=3π
Find the particular solution of the differential equation dxdy+ycotx=2x+x2cotx(x=0)given that y=0when x=2π.