Form a differential equation representing the given family of curves by eliminating arbitrary constants a and b.y=e2x(a+bx)
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Find the general solution of the differential equations:xdydx+2y=x2logx
Determine order and degree (if defined) of differential equations givenyprime+5y=0
Find the general solution of the differential equations sec2xtanydx+sec2ytanxdy=0
Find the general solution of the differential equations dxdy=sin−1x
Find the particular solution of the differential equation (1+e2x)dy+(1+y2)exdx=0, given that y=1whenx=0.
Form the differential equation of the family of circles in the first quadrant which touch the coordinate axes.
The degree of the differential equation(dx2d2y)3+(dxdy)2+sin(dxdy)+1=0(A) 3 (B) 2 (C) 1 (D) not defined
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