Which of the following differential equations has y=c1ex+c2e−xas the general solution?(A) dx2d2y+y=0 (B) dx2d2y−y=0 (C) dx2d2y+1=0 (D) dx2d2y−1=0
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Find the equation of the curve passing through the origin if the middle point of the segment of its normal from any point of the curve to the x-axis lies on the parabola 2y2=x
The degree and order respectively of the differential equation are dydx=1x+y+1.
Find the curve for which the perpendicular from the foot of the ordinate to the tangent is of constant length.
Form the differential equation of family of lines situated at a constant distance p
from the origin.
given that when x=0,y=3.
Find the orthogonal trajectories of family of curves x2+y2=cx
Find the order and degree of the following differential equation: edx3d3y−xdx2d2y+y=0