HARD
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IMPORTANT
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A curve amongst the family of curves represented by the differential equation, x2-y2 dx+2xy dy=0 which passes through 1,1, is

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Important Questions on Differential Equations

HARD
JEE Main
IMPORTANT
Let fx be a differentiable function such that f'x=7-34fxx, x>0 and f14. Then limx0+x f1x
HARD
JEE Main
IMPORTANT
Consider the differential equation, y2dx+x-1ydy=0. If value of y is 1 when x=1, then the value of x for which y=2, is
HARD
JEE Main
IMPORTANT
The general solution of the differential equation y2-x3dx-xydy=0, x0 is (where c is a constant of integration)
EASY
JEE Main
IMPORTANT
Let y=yx be the solution of the differential equation, xdydx+y=xlogex, x>1. If 2y2=loge4-1, then ye is equal to
HARD
JEE Main
IMPORTANT
If a curve passes through the point 1, -2 and has slope of the tangent at any point x, y on it as x2-2yx, then the curve also passes through the point
MEDIUM
JEE Main
IMPORTANT
Let y=yx be the solution of the differential equation sinxdydx+ycosx=4x, x0, π. If yπ2=0, then yπ6 is equal to
MEDIUM
JEE Main
IMPORTANT
Let y=yx be the solution of the differential equation dydx+2y=fx, where fx= 1,x0, 10,otherwise. If y(0)=0, then y 32 is
MEDIUM
JEE Main
IMPORTANT
The differential equation representing the family of ellipses having foci either on the x-axis or on the y-axis, center at the origin and passing through the point 0,3 is