Class 12

Math

Calculus

Differential Equations

Form the differential equation of the family of hyperbola having foci on x-axis and center at the origin.

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The differential equationd2ydx2+xdydx+siny+x2=0 is of the following type

The solution of the differential equation $dx(x+2y_{3})dy =y$ is

The differential equation of the family of circles with fixed radius 5 units and centre on the line y=2 is

The differential equations of all conies whose axes coincide with the co-ordinate axis

Find the differential equation of all parabolas whose axis are parallel to the x-axis.

Find the order and degree (if defined) of the equation: $dx_{2}d_{2}y ={1+(dxdy )_{4}}_{35}$

Solve $dxdy =2x+3y+4x+2y+3 $

The order of the differential equation whose general solution is given by $y=(C_{1}+C_{2})cos(x+C_{3})−C_{4}e_{x+C_{5}},$ where $C_{1},C_{2},C_{3},C_{4},C_{5}$ , are arbitrary constants, is (a) 5 (b) 4 (c) 3 (d) 2